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@unpublished{bks-paper,
    AUTHOR = {Blitvi{\'c}, Natasha and Kammoun, Mohammed Slim and Steingr\'imsson, Einar}, Title={Consecutive permutation patterns, point processes, and moment sequences},
Journal = {In preparation}, year={In preparation. 2022}
}

@article {Elizalde-Noy-2012,
    AUTHOR = {Elizalde, Sergi and Noy, Marc},
     TITLE = {Clusters, generating functions and asymptotics for consecutive
              patterns in permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {49},
      YEAR = {2012},
    NUMBER = {3-5},
     PAGES = {351--374},
      ISSN = {0196-8858},
   MRCLASS = {05A15 (05A05 05A17)},
  MRNUMBER = {3017964},
MRREVIEWER = {Arnold Knopfmacher},
       DOI = {10.1016/j.aam.2012.08.003},
       URL = {https://doi.org/10.1016/j.aam.2012.08.003},
}

@article {Hamburger,
    AUTHOR = {Hamburger, Hans},
     TITLE = {\"{U}ber eine {E}rweiterung des {S}tieltjesschen
              {M}omentenproblems},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {(I) 81: 235-319, 1920; (II) 82: 120--164, 1920; (III) 82: 168--187, 1921},
   MRCLASS = {DML},
  MRNUMBER = {1511978},
  YEAR={1920}
}

@article {Borodin-Diaconis-Fulman,
    AUTHOR = {Borodin, Alexei and Diaconis, Persi and Fulman, Jason},
     TITLE = {On adding a list of numbers (and other one-dependent
              determinantal processes)},
   JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {47},
      YEAR = {2010},
    NUMBER = {4},
     PAGES = {639--670},
      ISSN = {0273-0979},
   MRCLASS = {05E15 (60B15 60G55)},
  MRNUMBER = {2721041},
MRREVIEWER = {Martin V. Hildebrand},
       DOI = {10.1090/S0273-0979-2010-01306-9},
       URL = {https://doi.org/10.1090/S0273-0979-2010-01306-9},
}
	

@article{Banica-Belinschi-Capitaine-Collins, title={Free Bessel Laws}, volume={63}, DOI={10.4153/CJM-2010-060-6}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Cambridge University Press}, author={Banica, T. and Belinschi, S. T. and Capitaine, M. and Collins, B.}, year={2011}, pages={3--37}}

@article {simion-stanton-octabasic,
    AUTHOR = {Simion, R. and Stanton, D.},
     TITLE = {Octabasic {L}aguerre polynomials and permutation statistics},
   JOURNAL = {J. Comput. Appl. Math.},
  FJOURNAL = {Journal of Computational and Applied Mathematics},
    VOLUME = {68},
      YEAR = {1996},
    NUMBER = {1-2},
     PAGES = {297--329},
   MRCLASS = {33D45 (05A15 05A30 05E35)},
  MRNUMBER = {1418763},
MRREVIEWER = {Jiang Zeng},
}

@article {simion-stanton-laguerre,
    AUTHOR = {Simion, R. and Stanton, D.},
     TITLE = {Specializations of generalized {L}aguerre polynomials},
   JOURNAL = {SIAM J. Math. Anal.},
  FJOURNAL = {SIAM Journal on Mathematical Analysis},
    VOLUME = {25},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {712--719},
   MRCLASS = {05A15 (05E35 33D45)},
  MRNUMBER = {1266585},
MRREVIEWER = {Volker Strehl},
}

@article {dwyer-elizalde-wilf-eq-consec,
    AUTHOR = {Dwyer, Tim and Elizalde, Sergi},
     TITLE = {Wilf equivalence relations for consecutive patterns},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {99},
      YEAR = {2018},
     PAGES = {134--157},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15 06A07)},
  MRNUMBER = {3806760},
MRREVIEWER = {Nik Lygeros},
       DOI = {10.1016/j.aam.2018.04.007},
       URL = {https://doi.org/10.1016/j.aam.2018.04.007},
}

@unpublished{elizalde-upc-thesis,
    AUTHOR = {Elizalde, Sergi},
     TITLE = {Consecutive patterns and statistics on restricted permutations},
      NOTE = {Thesis (Ph.D.)--Universitat Polit\`ecnica de Catalunya},
      YEAR = {2004},
       URL = {https://upcommons.upc.edu/bitstream/handle/2117/93154/01Set01de01.pdf?sequence=1&isAllowed=y},
}

@book {elizalde-mit-thesis,
    AUTHOR = {Elizalde, Sergi},
     TITLE = {Statistics on pattern-avoiding permutations},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2004},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2717168},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0806232},
}

@article {duane-remmel-overlap-patts-color-perms,
    AUTHOR = {Duane, Adrian and Remmel, Jeffrey},
     TITLE = {Minimal overlapping patterns in colored permutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {18},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {Paper 25, 38},
   MRCLASS = {05A15 (05A05 05E05)},
  MRNUMBER = {2861417},
MRREVIEWER = {Toufik Mansour},
       DOI = {10.37236/2021},
       URL = {https://doi.org/10.37236/2021},
}

@article {bona-non-overlap-perms,
    AUTHOR = {B\'{o}na, Mikl\'{o}s},
     TITLE = {Non-overlapping permutation patterns},
   JOURNAL = {Pure Math. Appl. (PU.M.A.)},
  FJOURNAL = {Pure Mathematics and Applications. PU.M.A.},
    VOLUME = {22},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {99--105},
      ISSN = {1218-4586},
   MRCLASS = {05A05 (05A15 05A16)},
  MRNUMBER = {2924741},
}

@article {sokal-euler-springer-moment,
    AUTHOR = {Sokal, Alan D.},
     TITLE = {The {E}uler and {S}pringer numbers as moment sequences},
   JOURNAL = {Expo. Math.},
  FJOURNAL = {Expositiones Mathematicae},
    VOLUME = {38},
      YEAR = {2020},
    NUMBER = {1},
     PAGES = {1--26},
      ISSN = {0723-0869},
   MRCLASS = {05A15 (05A05 05A20 06F25 30B70 30E05 44A60 60E99)},
  MRNUMBER = {4082303},
MRREVIEWER = {Wojciech M\l otkowski},
       DOI = {10.1016/j.exmath.2018.08.001},
       URL = {https://doi.org/10.1016/j.exmath.2018.08.001},
}

@article {rains-incr-subseq,
    AUTHOR = {Rains, E. M.},
     TITLE = {Increasing subsequences and the classical groups},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {5},
      YEAR = {1998},
     PAGES = {Research Paper 12, 9},
   MRCLASS = {05E15},
  MRNUMBER = {1600095},
}

@article {clisby-conway-guttmann-inoue,
    AUTHOR = {Clisby, Nathan and Conway, Andrew R. and Guttmann, Anthony J.
              and Inoue, Yuma},
     TITLE = {Classical {L}ength-5 {P}attern-{A}voiding {P}ermutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {29},
      YEAR = {2022},
    NUMBER = {3},
     PAGES = {Paper No. 3.14--},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {4452622},
       DOI = {10.37236/10805},
       URL = {https://doi.org/10.37236/10805},
}

@article {BEGM-stieltjes-avoiders,
AUTHOR = {Bostan, Alin and Elvey Price, Andrew and Guttmann, Anthony John and Maillard, Jean-Marie},
TITLE = {{S}tieltjes moment sequences for pattern-avoiding permutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {27},
      YEAR = {2020},
    NUMBER = {4},
     PAGES = {P4.20},
       URL = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v27i4p20},
}

@unpublished{elvey-price-thesis,
    AUTHOR = {Elvey-Price, Andrew},
     TITLE = {Selected problems in enumerative combinatorics: permutation classes, random walks and planar maps},
      NOTE = {Thesis (Ph.D.)--University of Melbourne},
      YEAR = {2018},
}

@article {dotsenko-khoroshkin-shuffle-homology-consec-patt,
    AUTHOR = {Dotsenko, Vladimir and Khoroshkin, Anton},
     TITLE = {Shuffle algebras, homology, and consecutive pattern avoidance},
   JOURNAL = {Algebra Number Theory},
  FJOURNAL = {Algebra \& Number Theory},
    VOLUME = {7},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {673--700},
      ISSN = {1937-0652},
   MRCLASS = {05E15 (05A05 05A15 05A16 16E05)},
  MRNUMBER = {3095223},
MRREVIEWER = {Sheng Chen},
       DOI = {10.2140/ant.2013.7.673},
       URL = {https://doi.org/10.2140/ant.2013.7.673},
}

@article {beaton-conway-guttmann-consec-patt-av-4-5,
    AUTHOR = {Beaton, Nicholas R. and Conway, Andrew R. and Guttmann,
              Anthony J.},
     TITLE = {On consecutive pattern avoiding permutations of length 4, 5
              and beyond},
   JOURNAL = {Discrete Math. Theor. Comput. Sci.},
  FJOURNAL = {Discrete Mathematics \& Theoretical Computer Science. DMTCS.},
    VOLUME = {19},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {Paper No. 8, 24},
   MRCLASS = {05A05 (05A15 68Q25)},
  MRNUMBER = {3779576},
MRREVIEWER = {Nikola Ru\v{s}kuc},
}

@article {price-guttmann-thompson-group,
    AUTHOR = {Price, Andrew Elvey and Guttmann, Anthony J.},
     TITLE = {Numerical studies of {T}hompson's group {$F$} and related
              groups},
   JOURNAL = {Internat. J. Algebra Comput.},
  FJOURNAL = {International Journal of Algebra and Computation},
    VOLUME = {29},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {179--243},
      ISSN = {0218-1967},
   MRCLASS = {20F65 (05A05 05A15 20F05)},
  MRNUMBER = {3934784},
MRREVIEWER = {J\"{o}rg Lehnert},
       DOI = {10.1142/S0218196718500686},
       URL = {https://doi.org/10.1142/S0218196718500686},
}

@article{sokal-zeng-masterpolys,
    AUTHOR = {Sokal, Alan D. and Zeng, Jiang},
     TITLE = {Some multivariate master polynomials for permutations, set
              partitions, and perfect matchings, and their continued
              fractions},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {138},
      YEAR = {2022},
     PAGES = {Paper No. 102341, 122},
      ISSN = {0196-8858},
   MRCLASS = {05A19 (05A05 05A10 05A15 05A18 05A30 30B70 33D45)},
  MRNUMBER = {4398347},
MRREVIEWER = {Mircea Merca},
       DOI = {10.1016/j.aam.2022.102341},
       URL = {https://doi.org/10.1016/j.aam.2022.102341},
}

@article {kitaev-riordan4,
    AUTHOR = {Iamthong, Kittitat and Jung, Ji-Hwan and Kitaev, Sergey},
     TITLE = {Encoding labelled {$p$}-{R}iordan graphs by words and
              pattern-avoiding permutations},
   JOURNAL = {Graphs Combin.},
  FJOURNAL = {Graphs and Combinatorics},
    VOLUME = {37},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {139--149},
      ISSN = {0911-0119},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {4197371},
MRREVIEWER = {Nik Lygeros},
       DOI = {10.1007/s00373-020-02232-2},
       URL = {https://doi.org/10.1007/s00373-020-02232-2},
}
@article {kitaev-riordan1,
    AUTHOR = {Cheon, Gi-Sang and Jung, Ji-Hwan and Kang, Bumtle and Kim,
              Hana and Kim, Suh-Ryung and Kitaev, Sergey and Mojallal, Seyed
              Ahmad},
     TITLE = {Counting independent sets in {R}iordan graphs},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {343},
      YEAR = {2020},
    NUMBER = {11},
     PAGES = {112043, 10},
      ISSN = {0012-365X},
   MRCLASS = {05C69 (05C30)},
  MRNUMBER = {4119405},
MRREVIEWER = {Mark Rowland Budden},
       DOI = {10.1016/j.disc.2020.112043},
       URL = {https://doi.org/10.1016/j.disc.2020.112043},
}
@article {kitaev-riordan2,
    AUTHOR = {Cheon, Gi-Sang and Jung, Ji-Hwan and Kitaev, Sergey and
              Mojallal, Seyed Ahmad},
     TITLE = {Riordan graphs {I}: {S}tructural properties},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {579},
      YEAR = {2019},
     PAGES = {89--135},
      ISSN = {0024-3795},
   MRCLASS = {05C75 (05A15 05C45 15B05)},
  MRNUMBER = {3958155},
MRREVIEWER = {Irene Zorzan},
       DOI = {10.1016/j.laa.2019.05.033},
       URL = {https://doi.org/10.1016/j.laa.2019.05.033},
}
@article {kitaev-riordan3,
    AUTHOR = {Cheon, Gi-Sang and Jung, Ji-Hwan and Kitaev, Sergey and
              Mojallal, Seyed Ahmad},
     TITLE = {Riordan graphs {II}: {S}pectral properties},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {575},
      YEAR = {2019},
     PAGES = {174--215},
      ISSN = {0024-3795},
   MRCLASS = {05C50 (05A15 05C07 05C75)},
  MRNUMBER = {3938876},
MRREVIEWER = {Wayne M. Dymacek},
       DOI = {10.1016/j.laa.2019.04.011},
       URL = {https://doi.org/10.1016/j.laa.2019.04.011},
}


@article {MR2594475,
    AUTHOR = {Avgustinovich, Sergey and Glen, Amy and Halld\'{o}rsson, Bjarni V.
              and Kitaev, Sergey},
     TITLE = {On shortest crucial words avoiding abelian powers},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {158},
      YEAR = {2010},
    NUMBER = {6},
     PAGES = {605--607},
      ISSN = {0166-218X},
   MRCLASS = {68R15 (05A05)},
  MRNUMBER = {2594475},
       DOI = {10.1016/j.dam.2009.11.010},
       URL = {https://doi.org/10.1016/j.dam.2009.11.010},
}

@article {smith-ulfarsson-poseet-mesh-patt,
    AUTHOR = {Smith, Jason P. and Ulfarsson, Henning},
     TITLE = {The poset of mesh patterns},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {343},
      YEAR = {2020},
    NUMBER = {6},
     PAGES = {111848, 11},
      ISSN = {0012-365X},
   MRCLASS = {05A05 (06A07)},
  MRNUMBER = {4063461},
MRREVIEWER = {Nik Lygeros},
       DOI = {10.1016/j.disc.2020.111848},
       URL = {https://doi.org/10.1016/j.disc.2020.111848},
}

@article {zamboni-1,
    AUTHOR = {Cassaigne, Julien and Richomme, Gw\'{e}na\"{e}l and Saari, Kalle and
              Zamboni, Luca Q.},
     TITLE = {Avoiding {A}belian powers in binary words with bounded
              {A}belian complexity},
   JOURNAL = {Internat. J. Found. Comput. Sci.},
  FJOURNAL = {International Journal of Foundations of Computer Science},
    VOLUME = {22},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {905--920},
      ISSN = {0129-0541},
   MRCLASS = {68R15},
  MRNUMBER = {2806895},
       DOI = {10.1142/S0129054111008489},
       URL = {https://doi.org/10.1142/S0129054111008489},
}

@article {zamboni-2,
    AUTHOR = {Ferenczi, S\'{e}bastien and Zamboni, Luca Q.},
     TITLE = {Eigenvalues and simplicity of interval exchange
              transformations},
   JOURNAL = {Ann. Sci. \'{E}c. Norm. Sup\'{e}r. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'{E}cole Normale Sup\'{e}rieure. Quatri\`eme
              S\'{e}rie},
    VOLUME = {44},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {361--392},
      ISSN = {0012-9593},
   MRCLASS = {37A25 (28D05 37E35)},
  MRNUMBER = {2839454},
MRREVIEWER = {Jan Kwiatkowski},
       DOI = {10.24033/asens.2145},
       URL = {https://doi.org/10.24033/asens.2145},
}


@article {zamboni-3,
    AUTHOR = {Ferenczi, S\'{e}bastien and Zamboni, Luca Q.},
     TITLE = {Structure of {$K$}-interval exchange transformations:
              induction, trajectories, and distance theorems},
   JOURNAL = {J. Anal. Math.},
  FJOURNAL = {Journal d'Analyse Math\'{e}matique},
    VOLUME = {112},
      YEAR = {2010},
     PAGES = {289--328},
      ISSN = {0021-7670},
   MRCLASS = {37E05 (05A05 11J70 37A05 37A45)},
  MRNUMBER = {2763003},
MRREVIEWER = {Bernd Sing},
       DOI = {10.1007/s11854-010-0031-2},
       URL = {https://doi.org/10.1007/s11854-010-0031-2},
}
		
@article {zamboni-4,
    AUTHOR = {Richomme, Gw\'{e}na\"{e}l and Saari, Kalle and Zamboni, Luca Q.},
     TITLE = {Balance and abelian complexity of the {T}ribonacci word},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {45},
      YEAR = {2010},
    NUMBER = {2},
     PAGES = {212--231},
      ISSN = {0196-8858},
   MRCLASS = {68R15},
  MRNUMBER = {2646123},
       DOI = {10.1016/j.aam.2010.01.006},
       URL = {https://doi.org/10.1016/j.aam.2010.01.006},
}
	

@article {glen-allouche-dist-mod-1-lex,
    AUTHOR = {Allouche, Jean-Paul and Glen, Amy},
     TITLE = {Distribution modulo 1 and the lexicographic world},
   JOURNAL = {Ann. Sci. Math. Qu\'{e}bec},
  FJOURNAL = {Annales des Sciences Math\'{e}matiques du Qu\'{e}bec},
    VOLUME = {33},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {125--143},
      ISSN = {0707-9109},
   MRCLASS = {11K06 (05A05 11J71 11K31 68R15)},
  MRNUMBER = {2729804},
MRREVIEWER = {Anton Vladimirovich Shutov},
}

@incollection {glen-halldorsson-kitaev-crucial-words-abelian-powers,
    AUTHOR = {Glen, Amy and Halld\'{o}rsson, Bjarni V. and Kitaev, Sergey},
     TITLE = {Crucial words for abelian powers},
 BOOKTITLE = {Developments in language theory},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {5583},
     PAGES = {264--275},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2009},
   MRCLASS = {68R15},
  MRNUMBER = {2544707},
       DOI = {10.1007/978-3-642-02737-6\_21},
       URL = {https://doi.org/10.1007/978-3-642-02737-6_21},
}
	
@article {glen-halldorsson-kitaev-crucial-abelian,
    AUTHOR = {Glen, Amy and Halld\'{o}rsson, Bjarni V. and Kitaev, Sergey},
     TITLE = {Crucial abelian {$k$}-power-free words},
   JOURNAL = {Discrete Math. Theor. Comput. Sci.},
  FJOURNAL = {Discrete Mathematics \& Theoretical Computer Science. DMTCS.},
    VOLUME = {12},
      YEAR = {2010},
    NUMBER = {5},
     PAGES = {83--96},
   MRCLASS = {05A05 (68R15)},
  MRNUMBER = {2560635},
MRREVIEWER = {James D. Currie},
}
		
@article {kubitzke-welker-g-thms-veronese,
    AUTHOR = {Kubitzke, Martina and Welker, Volkmar},
     TITLE = {Enumerative {$g$}-theorems for the {V}eronese construction for
              formal power series and graded algebras},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {49},
      YEAR = {2012},
    NUMBER = {3-5},
     PAGES = {307--325},
      ISSN = {0196-8858},
   MRCLASS = {13D40 (05E40 13A02 13F55)},
  MRNUMBER = {3017962},
MRREVIEWER = {Adam L. Van Tuyl},
       DOI = {10.1016/j.aam.2012.08.002},
       URL = {https://doi.org/10.1016/j.aam.2012.08.002},
}

@article {dukes-jelinek-kubitzke-comp-matrices,
    AUTHOR = {Dukes, Mark and Jel\'{\i}nek, V\'{\i}t and Kubitzke, Martina},
     TITLE = {Composition matrices, {$({\bf 2}+{\bf 2})$}-free posets and
              their specializations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {18},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {Paper 44, 9},
   MRCLASS = {06A07 (05A19)},
  MRNUMBER = {2776820},
MRREVIEWER = {Svante Linusson},
       DOI = {10.37236/531},
       URL = {https://doi.org/10.37236/531},
}

@article {claesson-dukes-kubitzke-part-comp-matrices,
    author = {Claesson, Anders and Dukes, Mark and Kubitzke, Martina},
     title = {Partition and composition matrices},
   journal = {J. Combin. Theory Ser. A},
  fjournal = {Journal of Combinatorial Theory. Series A},
    volume = {118},
      year = {2011},
    number = {5},
     pages = {1624--1637},
      issn = {0097-3165},
       doi = {10.1016/j.jcta.2011.02.001},
       url = {https://doi.org/10.1016/j.jcta.2011.02.001},
}

@article {dukes-revstack-sort,
    AUTHOR = {Dukes, Mark},
     TITLE = {Revstack sort, zigzag patterns, descent polynomials of
              {$t$}-revstack sortable permutations, and {S}teingr\'{\i}msson's
              sorting conjecture},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {Paper 2.2, 27},
   MRCLASS = {05A05 (05A15 68P10 68R05)},
  MRNUMBER = {3210636},
MRREVIEWER = {Vincent R. Vatter},
}

@article {claesson-dukes-es-perms-sortable-n-4,
    author = {Claesson, Anders and Dukes, Mark and Steingr\'{\i}msson, Einar},
     title = {Permutations sortable by {$n-4$} passes through a stack},
   journal = {Ann. Comb.},
  fjournal = {Annals of Combinatorics},
    volume = {14},
      year = {2010},
    number = {1},
     pages = {45--51},
      issn = {0218-0006},
       doi = {10.1007/s00026-010-0044-7},
       url = {https://doi.org/10.1007/s00026-010-0044-7},
}

@article{claesson-ulfarsson-sort-preim-patt,
  author = {Claesson, Anders and Úlfarsson, Henning},
  title = {Sorting and preimages of pattern classes},
  journal = {{Discret Math. Theor. Comput. Sci.}},
  fjournal = {{Discrete Mathematics \& Theoretical Computer Science}},
  volume = {{DMTCS Proceedings vol. AR, 24th International Conference on
             Formal Power Series and Algebraic Combinatorics (FPSAC 2012)}},
  year = {2012},
  url = {https://dmtcs.episciences.org/3066},
}

@article{cerbai-claesson-es-sortin-132-machine,
      title = {Sorting with pattern-avoiding stacks: the 132-machine},
     author = {Cerbai, Giulio and Claesson, Anders, Ferrari, Luca and Steingr\'{\i}msson, Einar},
    journal = {Electron. J. Combin.},
   fjournal = {The Electronic Journal of Combinatorics},
     volume = {27},
     number = {3},
        doi = {10.37236/9642},
        url = {https://doi.org/10.37236/9642},
       year = {2020},
}

@article {claesson-kitaev-es-invo-beta-trees,
    author = {Claesson, Anders and Kitaev, Sergey and Steingr\'{\i}msson, Einar},
     title = {An involution on {$\beta(1,0)$}-trees},
   journal = {Adv. in Appl. Math.},
  fjournal = {Advances in Applied Mathematics},
    volume = {51},
      year = {2013},
    number = {2},
     pages = {276--284},
      issn = {0196-8858},
       doi = {10.1016/j.aam.2013.04.002},
       url = {https://doi.org/10.1016/j.aam.2013.04.002},
}

@article {claesson-kitaev-mier-bicubic-maps,
    author = {Claesson, Anders and Kitaev, Sergey and de Mier, Anna},
     title = {An involution on bicubic maps and {$\beta(0,1)$}-trees},
   journal = {Australas. J. Combin.},
  fjournal = {The Australasian Journal of Combinatorics},
    volume = {61},
      year = {2015},
     pages = {1--18},
      issn = {1034-4942},
}

@phdthesis{widmer-thesis,
 place={Lyon},
 title={Topics in Word Complexity},
 school={Universit\'e Claude Bernard Lyon 1},
 author={Widmer, Steven}, year={2019}
 }

@article {ehrenborg-kitaev-perry-spectral-patt-av,
    AUTHOR = {Ehrenborg, Richard and Kitaev, Sergey and Perry, Peter},
     TITLE = {A spectral approach to consecutive pattern-avoiding
              permutations},
   JOURNAL = {J. Comb.},
  FJOURNAL = {Journal of Combinatorics},
    VOLUME = {2},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {305--353},
      ISSN = {2156-3527},
   MRCLASS = {05A05 (05A15 05A16 15B48)},
  MRNUMBER = {2913198},
MRREVIEWER = {Astrid Reifegerste},
       DOI = {10.4310/JOC.2011.v2.n3.a1},
       URL = {https://doi.org/10.4310/JOC.2011.v2.n3.a1},
}
	
@article {kitaev-seif-perkins,
    AUTHOR = {Kitaev, Sergey and Seif, Steve},
     TITLE = {Word problem of the {P}erkins semigroup via directed acyclic
              graphs},
   JOURNAL = {Order},
  FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
              Applications},
    VOLUME = {25},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {177--194},
      ISSN = {0167-8094},
   MRCLASS = {20M05 (05C20 20M18 68Q17)},
  MRNUMBER = {2448403},
MRREVIEWER = {Mikhail V. Volkov},
       DOI = {10.1007/s11083-008-9083-7},
       URL = {https://doi.org/10.1007/s11083-008-9083-7},
}

@article {bucci-deluca-glen-zamboni-conn-palindrome-factor-complexity,
    AUTHOR = {Bucci, Michelangelo and De Luca, Alessandro and Glen, Amy and
              Zamboni, Luca Q.},
     TITLE = {A connection between palindromic and factor complexity using
              return words},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {42},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {60--74},
      ISSN = {0196-8858},
   MRCLASS = {68R15 (05A05 37B10)},
  MRNUMBER = {2475313},
MRREVIEWER = {James D. Currie},
       DOI = {10.1016/j.aam.2008.03.005},
       URL = {https://doi.org/10.1016/j.aam.2008.03.005},
}
	
@article {glen-justin-episturmian-survey,
    AUTHOR = {Glen, Amy and Justin, Jacques},
     TITLE = {Episturmian words: a survey},
   JOURNAL = {Theor. Inform. Appl.},
  FJOURNAL = {Theoretical Informatics and Applications. Informatique
              Th\'{e}orique et Applications},
    VOLUME = {43},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {403--442},
      ISSN = {0988-3754},
   MRCLASS = {68R15},
  MRNUMBER = {2541129},
       DOI = {10.1051/ita/2009003},
       URL = {https://doi.org/10.1051/ita/2009003},
}

@article {bucci-deluca-glen-zamboni-new-char-rich-words,
    AUTHOR = {Bucci, Michelangelo and De Luca, Alessandro and Glen, Amy and
              Zamboni, Luca Q.},
     TITLE = {A new characteristic property of rich words},
   JOURNAL = {Theoret. Comput. Sci.},
  FJOURNAL = {Theoretical Computer Science},
    VOLUME = {410},
      YEAR = {2009},
    NUMBER = {30-32},
     PAGES = {2860--2863},
      ISSN = {0304-3975},
   MRCLASS = {68R15 (05A05)},
  MRNUMBER = {2543339},
       DOI = {10.1016/j.tcs.2008.11.001},
       URL = {https://doi.org/10.1016/j.tcs.2008.11.001},
}

@article {glen-leve-richomme-directive-episturmian,
    AUTHOR = {Glen, Amy and Lev\'{e}, Florence and Richomme, Gw\'{e}na\"{e}l},
     TITLE = {Directive words of episturmian words: equivalences and
              normalization},
   JOURNAL = {Theor. Inform. Appl.},
  FJOURNAL = {Theoretical Informatics and Applications. Informatique
              Th\'{e}orique et Applications},
    VOLUME = {43},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {299--319},
      ISSN = {0988-3754},
   MRCLASS = {68R15 (05A05 37B10)},
  MRNUMBER = {2512261},
MRREVIEWER = {Patrice S\'{e}\'{e}bold},
       DOI = {10.1051/ita:2008029},
       URL = {https://doi.org/10.1051/ita:2008029},
}
@article {glen-justin-widmer-zamboni-palindromic-richness,
    AUTHOR = {Glen, Amy and Justin, Jacques and Widmer, Steve and Zamboni,
              Luca Q.},
     TITLE = {Palindromic richness},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {30},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {510--531},
      ISSN = {0195-6698},
   MRCLASS = {68R15 (05A05)},
  MRNUMBER = {2489283},
MRREVIEWER = {Narad Rampersad},
       DOI = {10.1016/j.ejc.2008.04.006},
       URL = {https://doi.org/10.1016/j.ejc.2008.04.006},
}

@article {richomme-saari-zamboni-abelian-complexity-subshifts,
    AUTHOR = {Richomme, Gw\'{e}na\"{e}l and Saari, Kalle and Zamboni, Luca Q.},
     TITLE = {Abelian complexity of minimal subshifts},
   JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {83},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {79--95},
      ISSN = {0024-6107},
   MRCLASS = {68R15 (11B85)},
  MRNUMBER = {2763945},
MRREVIEWER = {Nguyen Huong L\^{a}m},
       DOI = {10.1112/jlms/jdq063},
       URL = {https://doi.org/10.1112/jlms/jdq063},
}

@article {albert-atkinsson-bouvel-claesson-dukes,
    AUTHOR = {Albert, Michael H. and Atkinson, M. D. and Bouvel, Mathilde
              and Claesson, Anders and Dukes, Mark},
     TITLE = {On the inverse image of pattern classes under bubble sort},
   JOURNAL = {J. Comb.},
  FJOURNAL = {Journal of Combinatorics},
    VOLUME = {2},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {231--243},
      ISSN = {2156-3527},
   MRCLASS = {68P10 (05A05 68R05)},
  MRNUMBER = {2913194},
       DOI = {10.4310/JOC.2011.v2.n2.a3},
       URL = {https://doi.org/10.4310/JOC.2011.v2.n2.a3},
}


@article {halldorsson-kitaev-pyatkin-semi-trans-or-word-rep,
    AUTHOR = {Halld\'{o}rsson, Magn\'{u}s M. and Kitaev, Sergey and Pyatkin, Artem},
     TITLE = {Semi-transitive orientations and word-representable graphs},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {201},
      YEAR = {2016},
     PAGES = {164--171},
      ISSN = {0166-218X},
   MRCLASS = {05C85 (68R15)},
  MRNUMBER = {3453927},
MRREVIEWER = {Rog\'{e}rio V. Reis},
       DOI = {10.1016/j.dam.2015.07.033},
       URL = {https://doi.org/10.1016/j.dam.2015.07.033},
}

@article {kitaev-demier-noy-self-dual-maps,
    AUTHOR = {Kitaev, Sergey and de Mier, Anna and Noy, Marc},
     TITLE = {On the number of self-dual rooted maps},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {35},
      YEAR = {2014},
     PAGES = {377--387},
      ISSN = {0195-6698},
   MRCLASS = {05C10 (05C30)},
  MRNUMBER = {3090510},
MRREVIEWER = {D. S. Archdeacon},
       DOI = {10.1016/j.ejc.2013.06.013},
       URL = {https://doi.org/10.1016/j.ejc.2013.06.013},
}

@article {kitaev-salimov-severs-ulfarsson-planar-maps-perms,
    AUTHOR = {Kitaev, Sergey and Salimov, Pavel and Severs, Christopher and
              Ulfarsson, Henning},
     TITLE = {Restricted non-separable planar maps and some pattern avoiding
              permutations},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {161},
      YEAR = {2013},
    NUMBER = {16-17},
     PAGES = {2514--2526},
      ISSN = {0166-218X},
   MRCLASS = {05C10 (05A05)},
  MRNUMBER = {3101730},
       DOI = {10.1016/j.dam.2013.01.004},
       URL = {https://doi.org/10.1016/j.dam.2013.01.004},
}

@article {kitaev-remmel-2+2-free-by-min-elts,
    AUTHOR = {Kitaev, Sergey and Remmel, Jeffrey},
     TITLE = {Enumerating {$({\bf 2}+{\bf 2})$}-free posets by the number of
              minimal elements and other statistics},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {159},
      YEAR = {2011},
    NUMBER = {17},
     PAGES = {2098--2108},
      ISSN = {0166-218X},
   MRCLASS = {05A15 (06A06 06A07)},
  MRNUMBER = {2832334},
MRREVIEWER = {Emanuele Munarini},
       DOI = {10.1016/j.dam.2011.07.010},
       URL = {https://doi.org/10.1016/j.dam.2011.07.010},
}

@article {dukes-kitaev-remmel-steingr-2+2-free-indist,
    AUTHOR = {Dukes, Mark and Kitaev, Sergey and Remmel, Jeffrey and
              Steingr\'{\i}msson, Einar},
     TITLE = {Enumerating {$(2+2)$}-free posets by indistinguishable
              elements},
   JOURNAL = {J. Comb.},
  FJOURNAL = {Journal of Combinatorics},
    VOLUME = {2},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {139--163},
      ISSN = {2156-3527},
   MRCLASS = {06A07 (05A15)},
  MRNUMBER = {2847912},
MRREVIEWER = {Soheir M. Khamis},
       DOI = {10.4310/JOC.2011.v2.n1.a6},
       URL = {https://doi.org/10.4310/JOC.2011.v2.n1.a6},
}

@article {claesson-linusson-nfact-matchings-posets,
    author = {Claesson, Anders and Linusson, Svante},
     title = {{$n!$} matchings, {$n!$} posets},
   journal = {Proc. Amer. Math. Soc.},
  fjournal = {Proceedings of the American Mathematical Society},
    volume = {139},
      year = {2011},
    number = {2},
     pages = {435--449},
      issn = {0002-9939},
       doi = {10.1090/S0002-9939-2010-10678-0},
       url = {https://doi.org/10.1090/S0002-9939-2010-10678-0},
}

@article {claesson-dukes-kitaev-encode-stoimenow,
    AUTHOR = {Claesson, Anders and Dukes, Mark and Kitaev, Sergey},
     TITLE = {A direct encoding of {S}toimenow's matchings as ascent
              sequences},
   JOURNAL = {Australas. J. Combin.},
  FJOURNAL = {The Australasian Journal of Combinatorics},
    VOLUME = {49},
      YEAR = {2011},
     PAGES = {47--59},
      ISSN = {1034-4942},
   MRCLASS = {05A19 (05A05 05A15 06A07)},
  MRNUMBER = {2790960},
MRREVIEWER = {Robert Brignall},
}

@article {claesson-godsil-wagner-group-ord-set,
    AUTHOR = {Claesson, Anders and Godsil, Chris D. and Wagner, David G.},
     TITLE = {A permutation group determined by an ordered set},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {269},
      YEAR = {2003},
    NUMBER = {1-3},
     PAGES = {273--279},
      ISSN = {0012-365X},
   MRCLASS = {06A11 (06A07)},
  MRNUMBER = {1989467},
MRREVIEWER = {C. S. Hoo},
       DOI = {10.1016/S0012-365X(03)00094-3},
       URL = {https://doi.org/10.1016/S0012-365X(03)00094-3},
}

@article {kitaev-mansour-multi-av-gps,
    AUTHOR = {Kitaev, Sergey and Mansour, Toufik},
     TITLE = {On multi-avoidance of generalized patterns},
   JOURNAL = {Ars Combin.},
  FJOURNAL = {Ars Combinatoria},
    VOLUME = {76},
      YEAR = {2005},
     PAGES = {321--350},
      ISSN = {0381-7032},
   MRCLASS = {05A15},
  MRNUMBER = {2152770},
MRREVIEWER = {Astrid Reifegerste},
}

@article {kitaev-multi-av-gps,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {Multi-avoidance of generalised patterns},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {260},
      YEAR = {2003},
    NUMBER = {1-3},
     PAGES = {89--100},
      ISSN = {0012-365X},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {1948377},
MRREVIEWER = {Wayne M. Dymacek},
       DOI = {10.1016/S0012-365X(02)00452-1},
       URL = {https://doi.org/10.1016/S0012-365X(02)00452-1},
}

@article {kitaev-mansour-simul-av-gps,
    AUTHOR = {Kitaev, Sergey and Mansour, Toufik},
     TITLE = {Simultaneous avoidance of generalized patterns},
   JOURNAL = {Ars Combin.},
  FJOURNAL = {Ars Combinatoria},
    VOLUME = {75},
      YEAR = {2005},
     PAGES = {267--288},
      ISSN = {0381-7032},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2133228},
MRREVIEWER = {Astrid Reifegerste},
}

@article {evdokimov-kitaev-crucial-words,
    AUTHOR = {Evdokimov, A. and Kitaev, S.},
     TITLE = {Crucial words and the complexity of some extremal problems for
              sets of prohibited words},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {105},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {273--289},
      ISSN = {0097-3165},
   MRCLASS = {68R15 (05A05)},
  MRNUMBER = {2046084},
MRREVIEWER = {Patrice S\'{e}\'{e}bold},
       DOI = {10.1016/j.jcta.2003.12.003},
       URL = {https://doi.org/10.1016/j.jcta.2003.12.003},
}

@article {kitaev-no-iter-morphs-arshon,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {There are no iterated morphisms that define the {A}rshon
              sequence and the {$\sigma$}-sequence},
   JOURNAL = {J. Autom. Lang. Comb.},
  FJOURNAL = {Journal of Automata, Languages and Combinatorics},
    VOLUME = {8},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {43--50},
      ISSN = {1430-189X},
   MRCLASS = {68R15},
  MRNUMBER = {1991607},
}

@article {claesson-mansour-enum-pair-bs-patt,
    author = {Claesson, Anders and Mansour, Toufik},
     title = {Enumerating permutations avoiding a pair of
              {B}abson-{S}teingr\'{\i}msson patterns},
   journal = {Ars Combin.},
  fjournal = {Ars Combinatoria},
    volume = {77},
      year = {2005},
     pages = {17--31},
      issn = {0381-7032},
}

@article {branden-sign-graded-posets,
    AUTHOR = {Br\"{a}nd\'{e}n, Petter},
     TITLE = {Sign-graded posets, unimodality of {$W$}-polynomials and the
              {C}harney-{D}avis conjecture},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {11},
      YEAR = {2004/06},
    NUMBER = {2},
     PAGES = {Research Paper 9, 15},
   MRCLASS = {06A07 (13F55)},
  MRNUMBER = {2120105},
MRREVIEWER = {Axel Hultman},
       URL = {http://www.combinatorics.org/Volume_11/Abstracts/v11i2r9.html},
}

@article {branden-operators-polys-real-roots,
    AUTHOR = {Br\"{a}nd\'{e}n, Petter},
     TITLE = {On operators on polynomials preserving real-rootedness and the
              {N}eggers-{S}tanley conjecture},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {20},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {119--130},
      ISSN = {0925-9899},
   MRCLASS = {12D10 (05A15 06A07)},
  MRNUMBER = {2104673},
MRREVIEWER = {Michel Grandcolas},
       DOI = {10.1023/B:JACO.0000047295.93525.df},
       URL = {https://doi.org/10.1023/B:JACO.0000047295.93525.df},
}

@article {branden-linear-trans-polya,
    AUTHOR = {Br\"{a}nd\'{e}n, Petter},
     TITLE = {On linear transformations preserving the {P}\'{o}lya frequency
              property},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {358},
      YEAR = {2006},
    NUMBER = {8},
     PAGES = {3697--3716},
      ISSN = {0002-9947},
   MRCLASS = {05A15 (05A05 05A19 20F55 26C10)},
  MRNUMBER = {2218995},
MRREVIEWER = {Toshihiro Watanabe},
       DOI = {10.1090/S0002-9947-06-03856-6},
       URL = {https://doi.org/10.1090/S0002-9947-06-03856-6},
}

@misc{BevanLocallyUniform,
  doi = {10.48550/ARXIV.1908.07277},
  url = {https://arxiv.org/abs/1908.07277},
  author = {Bevan, David},
  keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics, 05A05, 05A16},
  title = {Permutations with few inversions are locally uniform},
  NOTE = {arXiv:1908.07277}},
  publisher = {arXiv},
  year = {2019},
  copyright = {arXiv.org perpetual, non-exclusive license}
}

@article {BevanAv1324GR,
    AUTHOR = {Bevan, David},
     TITLE = {Permutations avoiding 1324 and patterns in Łukasiewicz paths},
   JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {92},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {105--122},
      ISSN = {0024-6107},
   MRCLASS = {05A05 (05A16 60C05)},
  MRNUMBER = {3384507},
MRREVIEWER = {Jia Huang},
       DOI = {10.1112/jlms/jdv020},
       URL = {https://doi.org/10.1112/jlms/jdv020},
}

@article {BBEPP2020,
    AUTHOR = {Bevan, David and Brignall, Robert and Elvey Price, Andrew and
    Pantone, Jay},
     TITLE = {A structural characterisation of {${\rm Av}(1324)$} and new
              bounds on its growth rate},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {88},
      YEAR = {2020},
     PAGES = {103115, 29},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (05A15 05A16)},
  MRNUMBER = {4111727},
MRREVIEWER = {Toufik Mansour},
       DOI = {10.1016/j.ejc.2020.103115},
       URL = {https://doi.org/10.1016/j.ejc.2020.103115},
}

@article {BevanGridGR,
    AUTHOR = {Bevan, David},
     TITLE = {Growth rates of permutation grid classes, tours on graphs, and
                  the spectral radius},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {367},
      YEAR = {2015},
    NUMBER = {8},
     PAGES = {5863--5889},
      ISSN = {0002-9947},
   MRCLASS = {05A05 (05A16 05C30 05C38 05C50)},
  MRNUMBER = {3347191},
MRREVIEWER = {Timothy Y. Chow},
       DOI = {10.1090/S0002-9947-2015-06280-1},
       URL = {https://doi.org/10.1090/S0002-9947-2015-06280-1},
}

@article {BevanGeomGR,
    AUTHOR = {Bevan, David},
     TITLE = {Growth rates of geometric grid classes of permutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {Paper 4.51, 17},
   MRCLASS = {05A05 (05A16 05C31)},
  MRNUMBER = {3292288},
MRREVIEWER = {Wolfgang Woess},
}

@article {AV2019,
    AUTHOR = {Albert, Michael and Vatter, Vincent},
     TITLE = {An elementary proof of {B}evan's theorem on the growth of grid
              classes of permutations},
   JOURNAL = {Proc. Edinb. Math. Soc. (2)},
  FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
    VOLUME = {62},
      YEAR = {2019},
    NUMBER = {4},
     PAGES = {975--984},
      ISSN = {0013-0915},
   MRCLASS = {05A05 (05A16)},
  MRNUMBER = {4017860},
MRREVIEWER = {Adam Hammett},
       DOI = {10.1017/s0013091519000026},
       URL = {https://doi.org/10.1017/s0013091519000026},
}

@article {kitaev-mansour-seebold-peano,
    AUTHOR = {Kitaev, Sergey and Mansour, Toufik and S\'{e}\'{e}bold, Patrice},
     TITLE = {Generating the {P}eano curve and counting occurrences of some
              patterns},
   JOURNAL = {J. Autom. Lang. Comb.},
  FJOURNAL = {Journal of Automata, Languages and Combinatorics},
    VOLUME = {9},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {439--455},
      ISSN = {1430-189X},
   MRCLASS = {68R05 (05A15 68Q42 68R15)},
  MRNUMBER = {2198708},
MRREVIEWER = {Michal Kunc},
}

@article {kitaev-mansour-pawns,
    AUTHOR = {Kitaev, Sergey and Mansour, Toufik},
     TITLE = {The problem of the pawns},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {8},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {81--91},
      ISSN = {0218-0006},
   MRCLASS = {05A16 (05B45 52C20 82B20)},
  MRNUMBER = {2061378},
MRREVIEWER = {Konrad Engel},
       DOI = {10.1007/s00026-004-0206-6},
       URL = {https://doi.org/10.1007/s00026-004-0206-6},
}

@incollection {egge-mansour-av-cheby,
    AUTHOR = {Egge, Eric S. and Mansour, Toufik},
     TITLE = {Permutations which avoid 1243 and 2143, continued fractions,
              and {C}hebyshev polynomials},
      NOTE = {Permutation patterns (Otago, 2003)},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {9},
      YEAR = {2002/03},
    NUMBER = {2},
     PAGES = {Research paper 7, 35},
   MRCLASS = {05A05 (05A15 30B70 33C45)},
  MRNUMBER = {2028277},
MRREVIEWER = {Martin Klazar},
       URL = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2r7.html},
}

@article {conway-guttmann-zinn-1324-rev,
    AUTHOR = {Conway, Andrew R. and Guttmann, Anthony J. and Zinn-Justin,
              Paul},
     TITLE = {1324-avoiding permutations revisited},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {96},
      YEAR = {2018},
     PAGES = {312--333},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15 05A16)},
  MRNUMBER = {3767512},
MRREVIEWER = {David Bevan},
       DOI = {10.1016/j.aam.2018.01.002},
       URL = {https://doi.org/10.1016/j.aam.2018.01.002},
}

@phdthesis{kittiat-iamthong-2021,
place={Glasgow},
title={Encoding graphs by words and morphisms},
school={University of Strathclyde},
author={Iamthong, Kittitat}, year={2021}
}
 
@phdthesis{key ,
author = {O P Qwerty},
title = {History of the Goofy Layout of Keyboards},
publisher = {Podunk University Arcana Department},
address = {Podunk IN},
year = {1996}
}

@phdthesis{marc-glen-2019,
 place={Glasgow},
 title={On word-representability of polyomino triangulations and crown graphs},
 school={University of Strathclyde},
 author={Glen, Marc Elliott}, year={2019}
 }

@article {kitaev-pyatkin-representable-graphs,
    AUTHOR = {Kitaev, Sergey and Pyatkin, Artem},
     TITLE = {On representable graphs},
   JOURNAL = {J. Autom. Lang. Comb.},
  FJOURNAL = {Journal of Automata, Languages and Combinatorics},
    VOLUME = {13},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {45--54},
      ISSN = {1430-189X},
   MRCLASS = {05C62 (68R05 68R10 68R15)},
  MRNUMBER = {2467435},
MRREVIEWER = {Lenwood S. Heath},
}


@incollection {kitaev-developments-word-rep,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {A comprehensive introduction to the theory of
              word-representable graphs},
 BOOKTITLE = {Developments in language theory},
    SERIES = {Lecture Notes in Comput. Sci.},
    VOLUME = {10396},
     PAGES = {36--67},
 PUBLISHER = {Springer, Cham},
      YEAR = {2017},
   MRCLASS = {68R15 (05C75 68R10)},
  MRNUMBER = {3691068},
MRREVIEWER = {\^{A}ngela Mestre},
       DOI = {10.1007/978-3-319-62809-7\_2},
       URL = {https://doi.org/10.1007/978-3-319-62809-7_2},
}

@article {bevan-perm-lim-inf-scales,
    AUTHOR = {Bevan, David},
     TITLE = {Independence of permutation limits at infinitely many scales},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {186},
      YEAR = {2022},
     PAGES = {Paper No. 105557, 19},
      ISSN = {0097-3165},
   MRCLASS = {05A05 (05A16)},
  MRNUMBER = {4339590},
MRREVIEWER = {Toufik Mansour},
       DOI = {10.1016/j.jcta.2021.105557},
       URL = {https://doi.org/10.1016/j.jcta.2021.105557},
}

@article {claesson-hannah-decomp-label-interval,
    AUTHOR = {Claesson, Anders and Hannah, Stuart A.},
     TITLE = {Decomposing labeled interval orders as pairs of permutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {Paper 4.16, 20},
   MRCLASS = {05A19 (05A15 06A07)},
  MRNUMBER = {3284065},
MRREVIEWER = {Joel Brewster Lewis},
       DOI = {10.37236/4360},
       URL = {https://doi.org/10.37236/4360},
}

@misc{iamthong-kitaev,
  doi = {10.48550/ARXIV.2108.05483},
  
  url = {https://arxiv.org/abs/2108.05483},
  
  author = {Iamthong, Kittitat and Kitaev, Sergey},
  
  keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics},
  
  title = {Semi-transitivity of directed split graphs generated by morphisms},
  
  publisher = {arXiv},
  
  year = {2021},
  
  copyright = {Creative Commons Attribution 4.0 International}
}

@article {iamthong-jung-kitaev-encode-riordan,
    AUTHOR = {Iamthong, Kittitat and Jung, Ji-Hwan and Kitaev, Sergey},
     TITLE = {Encoding labelled {$p$}-{R}iordan graphs by words and
              pattern-avoiding permutations},
   JOURNAL = {Graphs Combin.},
  FJOURNAL = {Graphs and Combinatorics},
    VOLUME = {37},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {139--149},
      ISSN = {0911-0119},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {4197371},
MRREVIEWER = {Nik Lygeros},
       DOI = {10.1007/s00373-020-02232-2},
       URL = {https://doi.org/10.1007/s00373-020-02232-2},
}


@article {iamthong-word-rep-split-graphs,
    AUTHOR = {Iamthong, Kittitat},
     TITLE = {Word-representability of split graphs generated by morphisms},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {314},
      YEAR = {2022},
     PAGES = {284--303},
      ISSN = {0166-218X},
   MRCLASS = {05C69 (05C50)},
  MRNUMBER = {4401914},
       DOI = {10.1016/j.dam.2022.02.023},
       URL = {https://doi.org/10.1016/j.dam.2022.02.023},
}

@article {glen-color-word-rep-near-triang,
    AUTHOR = {Glen, Marc Elliot},
     TITLE = {Colourability and word-representability of
              near-triangulations},
   JOURNAL = {Pure Math. Appl. (PU.M.A.)},
  FJOURNAL = {Pure Mathematics and Applications. PU.M.A.},
    VOLUME = {28},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {70--76},
      ISSN = {1218-4586},
   MRCLASS = {05C10 (05C62 68R10 68R15)},
  MRNUMBER = {4028984},
MRREVIEWER = {Lyuba S. Alboul},
       DOI = {10.1515/puma-2015-0032},
       URL = {https://doi.org/10.1515/puma-2015-0032},
}

@article {glen-kit-pyatkin-rep-num-crown-graph,
    AUTHOR = {Glen, Marc and Kitaev, Sergey and Pyatkin, Artem},
     TITLE = {On the representation number of a crown graph},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {244},
      YEAR = {2018},
     PAGES = {89--93},
      ISSN = {0166-218X},
   MRCLASS = {05C90 (68R10 68R15)},
  MRNUMBER = {3802538},
MRREVIEWER = {Pavel V. Skums},
       DOI = {10.1016/j.dam.2018.03.013},
       URL = {https://doi.org/10.1016/j.dam.2018.03.013},
}

@article{glen-kit-word-rep-triang,
    AUTHOR = {Glen, Marc and Kitaev, Sergey},
     TITLE = {Word-representability of triangulations of rectangular
              polyomino with a single domino tile},
   JOURNAL = {J. Combin. Math. Combin. Comput.},
  FJOURNAL = {Journal of Combinatorial Mathematics and Combinatorial
              Computing},
    VOLUME = {101},
      YEAR = {2017},
     PAGES = {131--144},
      ISSN = {0835-3026},
   MRCLASS = {05B50 (68R15)},
  MRNUMBER = {3676195},
MRREVIEWER = {Jay Pantone},
}

@article {kitaev-mansour-vella-patt-matrices,
    AUTHOR = {Kitaev, Sergey and Mansour, Toufik and Vella, Antoine},
     TITLE = {Pattern avoidance in matrices},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
    VOLUME = {8},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {Article 05.2.2, 16},
   MRCLASS = {05A15 (05A05 05C50 05D10)},
  MRNUMBER = {2134161},
MRREVIEWER = {Alexander I. Burstein},
}
@incollection {vella-patts-lin-cycl-orders,
    AUTHOR = {Vella, Antoine},
     TITLE = {Pattern avoidance in permutations: linear and cyclic orders},
      NOTE = {Permutation patterns (Otago, 2003)},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {9},
      YEAR = {2002/03},
    NUMBER = {2},
     PAGES = {Research paper 18, 43},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2028287},
MRREVIEWER = {Alexander I. Burstein},
       URL = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2r18.html},
}

@article {branden-neggers-stanley,
    AUTHOR = {Br\"{a}nd\'{e}n, Petter},
     TITLE = {Counterexamples to the {N}eggers-{S}tanley conjecture},
   JOURNAL = {Electron. Res. Announc. Amer. Math. Soc.},
  FJOURNAL = {Electronic Research Announcements of the American Mathematical
              Society},
    VOLUME = {10},
      YEAR = {2004},
     PAGES = {155--158},
      ISSN = {1079-6762},
   MRCLASS = {06A07 (05A15)},
  MRNUMBER = {2119757},
MRREVIEWER = {Mikl\'{o}s B\'{o}na},
       DOI = {10.1090/S1079-6762-04-00140-4},
       URL = {https://doi.org/10.1090/S1079-6762-04-00140-4},
}

@book {haglund-qt-cat-diag-harmonics,
    AUTHOR = {Haglund, James},
     TITLE = {The {$q$},{$t$}-{C}atalan numbers and the space of diagonal
              harmonics},
    SERIES = {University Lecture Series},
    VOLUME = {41},
      NOTE = {With an appendix on the combinatorics of Macdonald
              polynomials},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2008},
     PAGES = {viii+167},
      ISBN = {978-0-8218-4411-3; 0-8218-4411-3},
   MRCLASS = {05E05 (05A05 05A30 33D52)},
  MRNUMBER = {2371044},
MRREVIEWER = {Michael A. Zabrocki},
       DOI = {10.1007/s10711-008-9270-0},
       URL = {https://doi.org/10.1007/s10711-008-9270-0},
}

@incollection {bax-nak-zeil-consec,
    AUTHOR = {Baxter, Andrew and Nakamura, Brian and Zeilberger, Doron},
     TITLE = {Automatic generation of theorems and proofs on enumerating
              consecutive-{W}ilf classes},
 BOOKTITLE = {Advances in combinatorics},
     PAGES = {121--138},
 PUBLISHER = {Springer, Heidelberg},
      YEAR = {2013},
   MRCLASS = {05A15 (05A05)},
  MRNUMBER = {3363966},
}

@article {gessel-viennot-bino-dets,
    AUTHOR = {Gessel, Ira and Viennot, G\'{e}rard},
     TITLE = {Binomial determinants, paths, and hook length formulae},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {58},
      YEAR = {1985},
    NUMBER = {3},
     PAGES = {300--321},
      ISSN = {0001-8708},
   MRCLASS = {05A15 (05A19)},
  MRNUMBER = {815360},
MRREVIEWER = {S. Milne},
       DOI = {10.1016/0001-8708(85)90121-5},
       URL = {https://doi.org/10.1016/0001-8708(85)90121-5},
}

@article{Guionnet2014,
    AUTHOR = {Guionnet, A. and Shlyakhtenko, D.},
     TITLE = {Free monotone transport},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {197},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {613--661},
      ISSN = {0020-9910},
   MRCLASS = {46L54 (60B20)},
  MRNUMBER = {3251831},
MRREVIEWER = {Maria Grazia Viola},
       DOI = {10.1007/s00222-013-0493-9},
       URL = {https://doi.org/10.1007/s00222-013-0493-9},
}

@article{Bozejko2015,
    AUTHOR = {Bo\.{z}ejko, Marek and Ejsmont, Wiktor and Hasebe, Takahiro},
     TITLE = {Fock space associated to {C}oxeter groups of type {B}},
   JOURNAL = {J. Funct. Anal.},
  FJOURNAL = {Journal of Functional Analysis},
    VOLUME = {269},
      YEAR = {2015},
    NUMBER = {6},
     PAGES = {1769--1795},
      ISSN = {0022-1236},
   MRCLASS = {46L53},
  MRNUMBER = {3373433},
MRREVIEWER = {Malte Gerhold},
       DOI = {10.1016/j.jfa.2015.06.026},
       URL = {https://doi.org/10.1016/j.jfa.2015.06.026},
}

@ARTICLE{Blitvic2012,
    AUTHOR = {Blitvi\'{c}, Natasha},
     TITLE = {The {$(q,t)$}-{G}aussian process},
   JOURNAL = {J. Funct. Anal.},
  FJOURNAL = {Journal of Functional Analysis},
    VOLUME = {263},
      YEAR = {2012},
    NUMBER = {10},
     PAGES = {3270--3305},
      ISSN = {0022-1236},
   MRCLASS = {46L65 (46L53 46L54)},
  MRNUMBER = {2973341},
MRREVIEWER = {Stephen R. Curran},
       DOI = {10.1016/j.jfa.2012.08.006},
       URL = {https://doi.org/10.1016/j.jfa.2012.08.006},
}

@article{Bozejko1997,
    AUTHOR = {Bo\.{z}ejko, Marek and K\"{u}mmerer, Burkhard and Speicher, Roland},
     TITLE = {{$q$}-{G}aussian processes: non-commutative and classical
              aspects},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {185},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {129--154},
      ISSN = {0010-3616},
   MRCLASS = {81S05 (46L50 81S25)},
  MRNUMBER = {1463036},
MRREVIEWER = {Philippe Biane},
       DOI = {10.1007/s002200050084},
       URL = {https://doi.org/10.1007/s002200050084},
}

@article {blit-stein-perms-moments,
    AUTHOR = {Blitvi\'{c}, Natasha and Steingr\'{\i}msson, Einar},
     TITLE = {Permutations, moments, measures},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {374},
      YEAR = {2021},
    NUMBER = {8},
     PAGES = {5473--5508},
      ISSN = {0002-9947},
   MRCLASS = {05A05 (05A18 05A19 33C45 46L53)},
  MRNUMBER = {4293778},
MRREVIEWER = {Jiang Zeng},
       DOI = {10.1090/tran/8330},
       URL = {https://doi.org/10.1090/tran/8330},
}

@article {spitzer-interaction-markov-proc,
    AUTHOR = {Spitzer, Frank},
     TITLE = {Interaction of {M}arkov processes},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {5},
      YEAR = {1970},
     PAGES = {246--290 (1970)},
      ISSN = {0001-8708},
   MRCLASS = {60.60},
  MRNUMBER = {268959},
MRREVIEWER = {B. Weiss},
       DOI = {10.1016/0001-8708(70)90034-4},
       URL = {https://doi.org/10.1016/0001-8708(70)90034-4},
}

@article{martin-stat-dist-multi-asep,
  title={Stationary distributions of the multi-type {ASEP}},
  author={Martin, James B and others},
  journal={Electron. J. Prob.},
 fjournal={Electronic Journal of Probability},
  volume={25},
  year={2020},
  publisher={The Institute of Mathematical Statistics and the Bernoulli Society}
}

@article{majumdar-dhar-asm-potts-equiv,
  title={Equivalence between the {A}belian sandpile model and the $q\rightarrow0$ limit of the {P}otts model},
  author={Majumdar, Satya N and Dhar, Deepak},
  journal={Physica A},
  fjournal={Physica A: Statistical Mechanics and its Applications},
  volume={185},
  number={1-4},
  pages={129--145},
  year={1992},
  publisher={Elsevier}
}

@article{HelmsP.2019Dpbo,
copyright = {Copyright 2019 Elsevier B.V., All rights reserved.},
language = {English},
issn = {24700045},
journal = {Phys. Rev. E},
fjournal = {Physical Review E},
volume = {100},
publisher = {American Physical Society},
number = {2},
year = {2019},
title = {Dynamical phase behavior of the single- A nd multi-lane asymmetric simple exclusion process via matrix product states},
author = {Helms, P. and Ray, U. and Chan, G.K.-L.},
keywords = {Condensed Matter - Statistical Mechanics ; Quantum Physics;},
}

@unpublished{corteel-mandelshtam-williams-multiline-macdonald-asep,
AUTHOR = {Corteel, Sylvie and Mandelshtam, Olya and Williams, Lauren},
Note = 	{arXiv:1811.01024},
Title = {From multiline queues to {M}acdonald polynomials via the exclusion process},
}

@unpublished{corteel-mandelshtam-williams-cylindric,
AUTHOR = {Corteel, Sylvie and Mandelshtam, Olya and Williams, Lauren},
Note = 	{arXiv:1811.01047},
Title = {Cylindric rhombic tableaux and the two-species ASEP on a ring},
}

@article{ezaki-nishinari-network-asep,
  title={A balance network for the asymmetric simple exclusion process},
  author={Ezaki, Takahiro and Nishinari, Katsuhiro},
  fjournal={Journal of Statistical Mechanics: Theory and Experiment},
  journal={J. Stat. Mech. Theory Exp.},
  volume={2012},
  number={11},
  pages={P11002},
  year={2012},
  publisher={IOP Publishing}
}
@article{chatterjee-al-asep-bottlenecks,
  title={Asymmetric exclusion processes on a closed network with bottlenecks},
  author={Chatterjee, Rakesh and Chandra, Anjan Kumar and Basu, Abhik},
  fjournal={Journal of Statistical Mechanics: Theory and Experiment},
  journal={J. Stat. Mech. Theory Exp.},
  volume={2015},
  number={1},
  pages={P01012},
  year={2015},
  publisher={IOP Publishing}
}

@article{parmeggiani-al-tasep-networks,
  title={Totally asymmetric simple exclusion process on networks},
  author={Neri, Izaak and Kern, Norbert and Parmeggiani, Andrea},
  fjournal={Physical review letters},
  journal={Phys. rev. lett.},
  volume={107},
  number={6},
  pages={068702},
  year={2011},
  publisher={APS}
}

@article{finn-ragoucy-vanicat-matrix,
  title={Matrix product solution to multi-species ASEP with open boundaries},
  author={Finn, C and Ragoucy, E and Vanicat, Matthieu},
  journal={J. Stat. Mech. Theory Exp.},
  fjournal={Journal of Statistical Mechanics: Theory and Experiment},
  volume={2018},
  number={4},
  pages={043201},
  year={2018},
  publisher={IOP Publishing}
}

@article{jiang-wang-wu-2-lane-tasep,
  title={Two-lane totally asymmetric exclusion processes with particle creation and annihilation},
  author={Jiang, Rui and Wang, Ruili and Wu, Qing-Song},
  fjournal={Physica A: Statistical Mechanics and its Applications},
  journal={Physica A},
  volume={375},
  number={1},
  pages={247--256},
  year={2007},
  publisher={Elsevier}
}

@book {MR2243761,
    AUTHOR = {Grimmett, Geoffrey},
     TITLE = {The random-cluster model},
    SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
              Principles of Mathematical Sciences]},
    VOLUME = {333},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2006},
     PAGES = {xiv+377},
      ISBN = {978-3-540-32890-2; 3-540-32890-4},
   MRCLASS = {60K35 (60-02 82-02 82B20 82B43)},
  MRNUMBER = {2243761},
MRREVIEWER = {Olivier Garet},
       DOI = {10.1007/978-3-540-32891-9},
       URL = {https://doi.org/10.1007/978-3-540-32891-9},
}

@incollection {sokal-multi-tutte-potts,
    AUTHOR = {Sokal, Alan D.},
     TITLE = {The multivariate {T}utte polynomial (alias {P}otts model) for
              graphs and matroids},
 BOOKTITLE = {Surveys in combinatorics 2005},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {327},
     PAGES = {173--226},
 PUBLISHER = {Cambridge Univ. Press, Cambridge},
      YEAR = {2005},
   MRCLASS = {05B35 (05C15 82B20 82B23)},
  MRNUMBER = {2187739},
MRREVIEWER = {Marc Noy},
       DOI = {10.1017/CBO9780511734885.009},
       URL = {https://doi.org/10.1017/CBO9780511734885.009},
}

@article {bak-tang-wiesenfeld-self-org-criticality,
AUTHOR = {Bak, Per and Tang, Chao and Wiesenfeld, Kurt},
     TITLE = {Self-organized criticality},
   JOURNAL = {Phys. Rev. A (3)},
  FJOURNAL = {Physical Review. A. Third Series},
    VOLUME = {38},
      YEAR = {1988},
    NUMBER = {1},
     PAGES = {364--374},
      ISSN = {1050-2947},
   MRCLASS = {58F13 (82A25 92A05)},
  MRNUMBER = {949160},
       DOI = {10.1103/PhysRevA.38.364},
       URL = {https://doi.org/10.1103/PhysRevA.38.364},
}

@article {derrida-al-asep,
    AUTHOR = {Derrida, B. and Evans, M. R. and Hakim, V. and Pasquier, V.},
     TITLE = {Exact solution of a {$1$}{D} asymmetric exclusion model using
              a matrix formulation},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {26},
      YEAR = {1993},
    NUMBER = {7},
     PAGES = {1493--1517},
      ISSN = {0305-4470},
   MRCLASS = {60K35 (82C20)},
  MRNUMBER = {1219679},
MRREVIEWER = {Pablo A. Ferrari},
       URL = {http://stacks.iop.org/0305-4470/26/1493},
}

@article {bjorner-lovasz-shor-chip-firing,
    AUTHOR = {Bj\"{o}rner, Anders and Lov\'{a}sz, L\'{a}szl\'{o} and Shor, Peter W.},
     TITLE = {Chip-firing games on graphs},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {12},
      YEAR = {1991},
    NUMBER = {4},
     PAGES = {283--291},
      ISSN = {0195-6698},
   MRCLASS = {90D43 (05C50)},
  MRNUMBER = {1120415},
MRREVIEWER = {Ulrich Faigle},
       DOI = {10.1016/S0195-6698(13)80111-4},
       URL = {https://doi.org/10.1016/S0195-6698(13)80111-4},
}

@article {garsia-gessel-perm-stats-partitions,
    AUTHOR = {Garsia, A. M. and Gessel, I.},
     TITLE = {Permutation statistics and partitions},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {31},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {288--305},
      ISSN = {0001-8708},
   MRCLASS = {05A15},
  MRNUMBER = {532836},
MRREVIEWER = {D. P. Roselle},
       DOI = {10.1016/0001-8708(79)90046-X},
       URL = {https://doi.org/10.1016/0001-8708(79)90046-X},
}

@article {reiner-signed-perm-stats,
    AUTHOR = {Reiner, Victor},
     TITLE = {Signed permutation statistics},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {14},
      YEAR = {1993},
    NUMBER = {6},
     PAGES = {553--567},
      ISSN = {0195-6698},
   MRCLASS = {05A15 (05E05)},
  MRNUMBER = {1248063},
MRREVIEWER = {Edward E. Allen},
       DOI = {10.1006/eujc.1993.1058},
       URL = {https://doi.org/10.1006/eujc.1993.1058},
}

@article {reiner-des-length-cox,
    AUTHOR = {Reiner, Victor},
     TITLE = {The distribution of descents and length in a {C}oxeter group},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {2},
      YEAR = {1995},
     PAGES = {Research Paper 25, approx. 20},
   MRCLASS = {05E15 (05A15 05A30 20F55 22E60 33D80)},
  MRNUMBER = {1359412},
MRREVIEWER = {Renzo Sprugnoli},
       URL = {http://www.combinatorics.org/Volume_2/Abstracts/v2i1r25.html},
}

@article {biane-exc-inv-heine,
    AUTHOR = {Biane, Philippe},
     TITLE = {Permutations suivant le type d'exc\'{e}dance et le nombre
              d'inversions et interpr\'{e}tation combinatoire d'une fraction
              continue de {H}eine},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {14},
      YEAR = {1993},
    NUMBER = {4},
     PAGES = {277--284},
      ISSN = {0195-6698},
   MRCLASS = {05A30},
  MRNUMBER = {1226575},
       DOI = {10.1006/eujc.1993.1031},
       URL = {https://doi.org/10.1006/eujc.1993.1031},
}

@article {shephard-todd-finite-unitary-groups,
    AUTHOR = {Shephard, G. C. and Todd, J. A.},
     TITLE = {Finite unitary reflection groups},
   JOURNAL = {Canadian J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'{e}matiques},
    VOLUME = {6},
      YEAR = {1954},
     PAGES = {274--304},
      ISSN = {0008-414X},
   MRCLASS = {20.0X},
  MRNUMBER = {0059914},
MRREVIEWER = {H. S. M. Coxeter},
       DOI = {10.4153/cjm-1954-028-3},
       URL = {https://doi.org/10.4153/cjm-1954-028-3},
}

@article {shephard-unitary-groups,
    AUTHOR = {Shephard, G. C.},
     TITLE = {Unitary groups generated by reflections},
   JOURNAL = {Canadian J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'{e}matiques},
    VOLUME = {5},
      YEAR = {1953},
     PAGES = {364--383},
      ISSN = {0008-414X},
   MRCLASS = {20.0X},
  MRNUMBER = {0055349},
MRREVIEWER = {review Signed},
       DOI = {10.4153/cjm-1953-042-7},
       URL = {https://doi.org/10.4153/cjm-1953-042-7},
}

@article {flajolet-cf-motzkin,
    AUTHOR = {Flajolet, P.},
     TITLE = {Combinatorial aspects of continued fractions},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {32},
      YEAR = {1980},
    NUMBER = {2},
     PAGES = {125--161},
      ISSN = {0012-365X},
   MRCLASS = {05A10 (05A15 30B70)},
  MRNUMBER = {592851},
MRREVIEWER = {L. Carlitz},
       DOI = {10.1016/0012-365X(80)90050-3},
       URL = {https://doi.org/10.1016/0012-365X(80)90050-3},
}

@book{comtet-advanced,
    AUTHOR = {Comtet, Louis},
     TITLE = {Advanced combinatorics},
   EDITION = {enlarged},
      NOTE = {The art of finite and infinite expansions},
 PUBLISHER = {D. Reidel Publishing Co., Dordrecht},
      YEAR = {1974},
     PAGES = {xi+343},
      ISBN = {90-277-0441-4},
   MRCLASS = {05-02},
  MRNUMBER = {0460128},
}

@article {kitaev-al-k-11,
    AUTHOR = {Cheonk G.-S. and Kim, J. and Kim, M. and Pyatkin, A.},
     TITLE = {On k-11-representable graphs},
   JOURNAL = {J. Comb.},
  FJOURNAL = {Journal of Combinatorics},
    VOLUME = {10},
      YEAR = {2019},
     PAGES = {491--513},
       URL = {http://dx.doi.org/10.4310/JOC.2019.v10.n3.a3},
}

@article {remmel-wilson-macmahon-ordsetpart,
    AUTHOR = {Remmel, Jeffrey B. and Wilson, Andrew Timothy},
     TITLE = {An extension of {M}ac{M}ahon's equidistribution theorem to
              ordered set partitions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {134},
      YEAR = {2015},
     PAGES = {242--277},
      ISSN = {0097-3165},
   MRCLASS = {05A18 (05A15)},
  MRNUMBER = {3345306},
MRREVIEWER = {Damir Yeliussizov},
       DOI = {10.1016/j.jcta.2015.03.012},
       URL = {https://doi.org/10.1016/j.jcta.2015.03.012},
}

@article {haglund-remmel-wilson-delta,
    AUTHOR = {Haglund, J. and Remmel, J. B. and Wilson, A. T.},
     TITLE = {The delta conjecture},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {370},
      YEAR = {2018},
    NUMBER = {6},
     PAGES = {4029--4057},
      ISSN = {0002-9947},
   MRCLASS = {05E05},
  MRNUMBER = {3811519},
MRREVIEWER = {David J. Grabiner},
       DOI = {10.1090/tran/7096},
       URL = {https://doi.org/10.1090/tran/7096},
}

@article {wilson-macmahon-ordmultisetpart,
    AUTHOR = {Wilson, Andrew Timothy},
     TITLE = {An extension of {M}ac{M}ahon's equidistribution theorem to
              ordered multiset partitions},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {23},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {Paper 1.5, 21},
      ISSN = {1077-8926},
   MRCLASS = {05A19 (05A05 05A18 05E05)},
  MRNUMBER = {3484710},
MRREVIEWER = {Zhicong Lin},
}

@article {haglund-rhoades-shimozono-ordsetpart-delta,
    AUTHOR = {Haglund, James and Rhoades, Brendon and Shimozono, Mark},
     TITLE = {Ordered set partitions, generalized coinvariant algebras, and
              the delta conjecture},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {329},
      YEAR = {2018},
     PAGES = {851--915},
      ISSN = {0001-8708},
   MRCLASS = {05A18 (05E05 05E10)},
  MRNUMBER = {3783430},
MRREVIEWER = {Damir Yeliussizov},
       DOI = {10.1016/j.aim.2018.01.028},
       URL = {https://doi.org/10.1016/j.aim.2018.01.028},
}


@article {ksavrelof-zeng-nouvelle-stat,
    AUTHOR = {Ksavrelof, G\'{e}rald and Zeng, Jiang},
     TITLE = {Nouvelles statistiques de partitions pour les {$q$}-nombres de
              {S}tirling de seconde esp\`ece},
      NOTE = {LaCIM 2000 Conference on Combinatorics, Computer Science and
              Applications (Montreal, QC)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {256},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {743--758},
      ISSN = {0012-365X},
   MRCLASS = {05A30 (05A15 33D15)},
  MRNUMBER = {1935786},
MRREVIEWER = {Christian Wittmann},
       DOI = {10.1016/S0012-365X(02)00345-X},
       URL = {https://doi.org/10.1016/S0012-365X(02)00345-X},
}

@article {kasraoui-zeng-em-stats-ordsetpart-2,
    AUTHOR = {Kasraoui, Anisse and Zeng, Jiang},
     TITLE = {Euler-{M}ahonian statistics on ordered set partitions. {II}},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {116},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {539--563},
      ISSN = {0097-3165},
   MRCLASS = {05A18 (05A15)},
  MRNUMBER = {2500157},
MRREVIEWER = {Anthony A. Mendes},
       DOI = {10.1016/j.jcta.2008.06.012},
       URL = {https://doi.org/10.1016/j.jcta.2008.06.012},
}

@incollection {ishikawa-kasraoui-zeng-survey,
    AUTHOR = {Ishikawa, Masao and Kasraoui, Anisse and Zeng, Jiang},
     TITLE = {Euler-{M}ahonian statistics on ordered partitions and
              {S}teingr\'{\i}msson's conjecture---a survey},
 BOOKTITLE = {Combinatorial representation theory and related topics},
    SERIES = {RIMS K\^{o}ky\^{u}roku Bessatsu, B8},
     PAGES = {99--113},
 PUBLISHER = {Res. Inst. Math. Sci. (RIMS), Kyoto},
      YEAR = {2008},
   MRCLASS = {05A17 (05A15 05A30)},
  MRNUMBER = {2467717},
MRREVIEWER = {Robert John Clarke},
}

@article {ishikawa-kasraoui-zeng-em-stats-ordsetpart,
    AUTHOR = {Ishikawa, Masao and Kasraoui, Anisse and Zeng, Jiang},
     TITLE = {Euler-{M}ahonian statistics on ordered set partitions},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {22},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {1105--1137},
      ISSN = {0895-4801},
   MRCLASS = {05A15 (05A18 05A30)},
  MRNUMBER = {2424840},
MRREVIEWER = {Anthony A. Mendes},
       DOI = {10.1137/060672340},
       URL = {https://doi.org/10.1137/060672340},
}

@article {bona-simion,
    AUTHOR = {B\'{o}na, Mikl\'{o}s and Simion, Rodica},
     TITLE = {A self-dual poset on objects counted by the {C}atalan numbers
              and a type-{B} analogue},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {220},
      YEAR = {2000},
    NUMBER = {1-3},
     PAGES = {35--49},
      ISSN = {0012-365X},
   MRCLASS = {05A18 (06A07)},
  MRNUMBER = {1760294},
MRREVIEWER = {Ulrich Faigle},
       DOI = {10.1016/S0012-365X(99)00397-0},
       URL = {https://doi.org/10.1016/S0012-365X(99)00397-0},
}

@inproceedings {ER-juggling,
    AUTHOR = {Ehrenborg, Richard and Readdy, Margaret},
     TITLE = {Juggling and applications to {$q$}-analogues},
 BOOKTITLE = {Proceedings of the 6th {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({N}ew {B}runswick,
              {NJ}, 1994)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {157},
      YEAR = {1996},
    NUMBER = {1-3},
     PAGES = {107--125},
      ISSN = {0012-365X},
   MRCLASS = {05A30 (05A18)},
  MRNUMBER = {1417290},
MRREVIEWER = {James B. Haglund},
       DOI = {10.1016/S0012-365X(96)83010-X},
       URL = {https://doi.org/10.1016/S0012-365X(96)83010-X},
}

@article {foata-zeilberger-denerts,
    AUTHOR = {Foata, Dominique and Zeilberger, Doron},
     TITLE = {Denert's permutation statistic is indeed {E}uler-{M}ahonian},
   JOURNAL = {Stud. Appl. Math.},
  FJOURNAL = {Studies in Applied Mathematics},
    VOLUME = {83},
      YEAR = {1990},
    NUMBER = {1},
     PAGES = {31--59},
      ISSN = {0022-2526},
   MRCLASS = {05A15 (05E99 20B99)},
  MRNUMBER = {1061147},
MRREVIEWER = {Daniel Elliott Loeb},
       DOI = {10.1002/sapm199083131},
       URL = {https://doi.org/10.1002/sapm199083131},
}

@article {garsia-remmel-q-rook,
    AUTHOR = {Garsia, A. M. and Remmel, J. B.},
     TITLE = {{$Q$}-counting rook configurations and a formula of
              {F}robenius},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {41},
      YEAR = {1986},
    NUMBER = {2},
     PAGES = {246--275},
      ISSN = {0097-3165},
   MRCLASS = {05A15 (05A19 05A30)},
  MRNUMBER = {834272},
MRREVIEWER = {S. Milne},
       DOI = {10.1016/0097-3165(86)90083-X},
       URL = {https://doi.org/10.1016/0097-3165(86)90083-X},
}

@MISC{krob-pseudo,
    author = {Daniel Krob and Matthieu Latapy and Jean-Christophe Novelli and Ha Duong Phan and Sylviane Schwer},
    title = {Pseudo-Permutations {I}: First Combinatorial and Lattice Properties},
    year = {2000},
}


@article {milne-q-rgf,
    AUTHOR = {Milne, Stephen C.},
     TITLE = {A {$q$}-analog of restricted growth functions, {D}obinski's
              equality, and {C}harlier polynomials},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {245},
      YEAR = {1978},
     PAGES = {89--118},
      ISSN = {0002-9947},
   MRCLASS = {05A15 (33A65)},
  MRNUMBER = {511401},
MRREVIEWER = {L. Carlitz},
       DOI = {10.2307/1998858},
       URL = {https://doi.org/10.2307/1998858},
}

@article {reiner-noncrossing,
    AUTHOR = {Reiner, Victor},
     TITLE = {Non-crossing partitions for classical reflection groups},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {177},
      YEAR = {1997},
    NUMBER = {1-3},
     PAGES = {195--222},
      ISSN = {0012-365X},
   MRCLASS = {06A07 (05A18 05E15)},
  MRNUMBER = {1483446},
MRREVIEWER = {Darla Kremer},
       DOI = {10.1016/S0012-365X(96)00365-2},
       URL = {https://doi.org/10.1016/S0012-365X(96)00365-2},
}

@article {sagan-maj-stat,
    AUTHOR = {Sagan, Bruce E.},
     TITLE = {A maj statistic for set partitions},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {12},
      YEAR = {1991},
    NUMBER = {1},
     PAGES = {69--79},
      ISSN = {0195-6698},
   MRCLASS = {05A18 (05A15)},
  MRNUMBER = {1087650},
MRREVIEWER = {Dennis White},
       DOI = {10.1016/S0195-6698(13)80009-1},
       URL = {https://doi.org/10.1016/S0195-6698(13)80009-1},
}

@article {simion-noncross-partitions,
    AUTHOR = {Simion, Rodica},
     TITLE = {Combinatorial statistics on noncrossing partitions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {66},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {270--301},
      ISSN = {0097-3165},
   MRCLASS = {05A17 (05A10)},
  MRNUMBER = {1275735},
MRREVIEWER = {Wen Li Chen},
       DOI = {10.1016/0097-3165(94)90066-3},
       URL = {https://doi.org/10.1016/0097-3165(94)90066-3},
}

@article {wachs-white-stirling,
    AUTHOR = {Wachs, Michelle and White, Dennis},
     TITLE = {{$p,q$}-{S}tirling numbers and set partition statistics},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {56},
      YEAR = {1991},
    NUMBER = {1},
     PAGES = {27--46},
      ISSN = {0097-3165},
   MRCLASS = {05A18 (05A15 11B65 11B73)},
  MRNUMBER = {1082841},
MRREVIEWER = {S. Milne},
       DOI = {10.1016/0097-3165(91)90020-H},
       URL = {https://doi.org/10.1016/0097-3165(91)90020-H},
}

@article {white-interpolating,
    AUTHOR = {White, Dennis},
     TITLE = {Interpolating set partition statistics},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {68},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {262--295},
      ISSN = {0097-3165},
   MRCLASS = {05A18 (05A15 11B73)},
  MRNUMBER = {1297174},
MRREVIEWER = {Bruce Sagan},
       DOI = {10.1016/0097-3165(94)90107-4},
       URL = {https://doi.org/10.1016/0097-3165(94)90107-4},
}

@article {zeng-zhang-newton,
    AUTHOR = {Zeng, Jiang and Zhang, Changgui},
     TITLE = {A {$q$}-analog of {N}ewton's series, {S}tirling functions and
              {E}ulerian functions},
   JOURNAL = {Results Math.},
  FJOURNAL = {Results in Mathematics. Resultate der Mathematik},
    VOLUME = {25},
      YEAR = {1994},
    NUMBER = {3-4},
     PAGES = {370--391},
      ISSN = {0378-6218},
   MRCLASS = {05A10 (05A19 05A30)},
  MRNUMBER = {1273123},
MRREVIEWER = {Wenchang Chu},
       DOI = {10.1007/BF03323418},
       URL = {https://doi.org/10.1007/BF03323418},
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article {dukes-selig-decomp-rec-asm,
    AUTHOR = {Dukes, Mark and Selig, Thomas},
     TITLE = {Decomposing recurrent states of the {A}belian sandpile model},
   JOURNAL = {S\'{e}m. Lothar. Combin.},
  FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
    VOLUME = {77},
      YEAR = {[2016--2018]},
     PAGES = {Art. B77g, 25},
   MRCLASS = {05C81},
  MRNUMBER = {3764107},
MRREVIEWER = {Hai Yan Chen},
}


@article {selig-stoch-sandpile,
    AUTHOR = {Chan, Yao-ban and Marckert, Jean-Fran\c{c}ois and Selig, Thomas},
     TITLE = {A natural stochastic extension of the sandpile model on a
              graph},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {120},
      YEAR = {2013},
    NUMBER = {7},
     PAGES = {1913--1928},
      ISSN = {0097-3165},
   MRCLASS = {05C31 (05C30)},
  MRNUMBER = {3092706},
MRREVIEWER = {Fu Ji Zhang},
       DOI = {10.1016/j.jcta.2013.07.004},
       URL = {https://doi.org/10.1016/j.jcta.2013.07.004},
}

@article {mob-sep-decomp,
    AUTHOR = {Burstein, Alexander and Jel\'{i}nek, V\'{i}t and Jel\'{i}nkov\'{a}, Eva and
              Steingr\'{i}msson, Einar},
     TITLE = {The {M}\"{o}bius function of separable and decomposable
              permutations},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {118},
      YEAR = {2011},
    NUMBER = {8},
     PAGES = {2346--2364},
      ISSN = {0097-3165},
   MRCLASS = {05A05 (06A07)},
  MRNUMBER = {2834180},
MRREVIEWER = {Luca Ferrari},
       DOI = {10.1016/j.jcta.2011.06.002},
       URL = {https://doi.org/10.1016/j.jcta.2011.06.002},
}


%%%%%%%%%%%%  ASM-paper by Dukes-SSS

@article{Lop,
    AUTHOR = {Merino L\'{o}pez, Criel},
     TITLE = {Chip firing and the {T}utte polynomial},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {1},
      YEAR = {1997},
    NUMBER = {3},
     PAGES = {253--259},
      ISSN = {0218-0006},
   MRCLASS = {90D43 (05C99)},
  MRNUMBER = {1630779},
MRREVIEWER = {P. A. Biryukov},
       DOI = {10.1007/BF02558479},
       URL = {https://doi.org/10.1007/BF02558479},
}

@article{dhar-asm-related-models,
  title={The {A}belian sandpile and related models},
  author={Dhar, Deepak},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={263},
  number={1-4},
  pages={4--25},
  year={1999},
  publisher={Elsevier}
}

@article{Dhar,
  title = {Self-organized critical state of sandpile automaton models},
  author = {Dhar, Deepak},
  journal = {Phys. Rev. Lett.},
  volume = {64},
  issue = {14},
  pages = {1613--1616},
  numpages = {0},
  year = {1990},
  month = {Apr},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.64.1613},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.64.1613}
}

@article{DSSS,
    AUTHOR = {Dukes, Mark and Selig, Thomas and Smith, Jason P. and
              Steingr\'{\i}msson, Einar},
     TITLE = {The {A}belian sandpile model on {F}errers graphs---a
              classification of recurrent configurations},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {81},
      YEAR = {2019},
     PAGES = {221--241},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (05A15 05A19)},
  MRNUMBER = {3963709},
MRREVIEWER = {Hai Yan Chen},
       DOI = {10.1016/j.ejc.2019.05.008},
       URL = {https://doi.org/10.1016/j.ejc.2019.05.008},
}

@article{DSSS-asm,
    AUTHOR = {Dukes, Mark and Selig, Thomas and Smith, Jason P. and
              Steingr\'{\i}msson, Einar},
     TITLE = {Permutation graphs and the {A}belian sandpile model, tiered
              trees and non-ambiguous binary trees},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {26},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {Paper No. 3.29, 25},
   MRCLASS = {05C25 (05A05 82C20)},
  MRNUMBER = {4014599},
       DOI = {10.37236/8225},
       URL = {https://doi.org/10.37236/8225},
}


@Article{aval-al-nonambig,
    Author = {Jean-Christophe {Aval} and Adrien {Boussicault} and Mathilde {Bouvel} and Matteo {Silimbani}},
    Title = {{Combinatorics of non-ambiguous trees.}},
    FJournal = {{Advances in Applied Mathematics}},
    Journal = {{Adv. Appl. Math.}},
    ISSN = {0196-8858},
    Volume = {56},
    Pages = {78--108},
    Year = {2014},
    Publisher = {Elsevier (Academic Press), San Diego, CA},
    Language = {English},
    DOI = {10.1016/j.aam.2013.11.004},
    MSC2010 = {05C30 05C05 06A07 05B50 05A05 05A15},
    Zbl = {1300.05127}
}

@article {dggs-tiered,
    AUTHOR = {Dugan, William and Glennon, Sam and Gunnells, Paul E. and
              Steingr\'{\i}msson, Einar},
     TITLE = {Tiered trees, weights, and {$q$}-{E}ulerian numbers},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {164},
      YEAR = {2019},
     PAGES = {24--49},
      ISSN = {0097-3165},
   MRCLASS = {05C05 (05C22 05C30 05E05)},
  MRNUMBER = {3892366},
       DOI = {10.1016/j.jcta.2018.12.002},
       URL = {https://doi.org/10.1016/j.jcta.2018.12.002},
}


@Article{CLB,
    Author = {Robert {Cori} and Yvan {Le Borgne}},
    Title = {{The sand-pile model and Tutte polynomials.}},
    FJournal = {{Advances in Applied Mathematics}},
    Journal = {{Adv. Appl. Math.}},
    ISSN = {0196-8858},
    Volume = {30},
    Number = {1-2},
    Pages = {44--52},
    Year = {2003},
    Publisher = {Elsevier (Academic Press), San Diego, CA},
    Language = {English},
    DOI = {10.1016/S0196-8858(02)00524-9},
    MSC2010 = {05C30 05C05},
    Zbl = {1030.05058}
}

@Article{Ber,
    AUTHOR = {Bernardi, Olivier},
     TITLE = {Tutte polynomial, subgraphs, orientations and sandpile model:
              {N}ew connections via embeddings},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {15},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {Research Paper 109, 53},
      ISSN = {1077-8926},
   MRCLASS = {05C20},
  MRNUMBER = {2438581},
MRREVIEWER = {Gary Gordon},
}

@article{postnikov-intransitive,
    AUTHOR = {Postnikov, Alexander},
     TITLE = {Intransitive trees},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {79},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {360--366},
      ISSN = {0097-3165},
   MRCLASS = {05C05 (05C30)},
  MRNUMBER = {1462563},
       DOI = {10.1006/jcta.1996.2735},
       URL = {https://doi.org/10.1006/jcta.1996.2735},
}

@article {ew-ferrers,
    AUTHOR = {Ehrenborg, Richard and van Willigenburg, Stephanie},
     TITLE = {Enumerative properties of {F}errers graphs},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {32},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {481--492},
      ISSN = {0179-5376},
     CODEN = {DCGEER},
   MRCLASS = {05C75 (05A17 05C15)},
  MRNUMBER = {2096744},
MRREVIEWER = {Margaret M. Bayer},
       DOI = {10.1007/s00454-004-1135-1},
       URL = {http://dx.doi.org/10.1007/s00454-004-1135-1},
}

@article {CH,
    AUTHOR = {Chv\'{a}tal, V\'{a}clav and Hammer, Peter L.},
     TITLE = {Aggregation of inequalities in integer programming},
 BOOKTITLE = {Studies in integer programming ({P}roc. {W}orkshop, {B}onn,
              1975)},
     PAGES = {145--162. Ann. of Discrete Math., Vol. 1},
 PUBLISHER = {North-Holland, Amsterdam},
      YEAR = {1977},
   MRCLASS = {90C10},
  MRNUMBER = {0479384},
MRREVIEWER = {Csaba Fabian},
}

@Article{PYY,
    AUTHOR = {Perkinson, David and Yang, Qiaoyu and Yu, Kuai},
     TITLE = {{$G$}-parking functions and tree inversions},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {37},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {269--282},
      ISSN = {0209-9683},
   MRCLASS = {05A15 (05A19 05C05 05C30)},
  MRNUMBER = {3638345},
MRREVIEWER = {David Callan},
       DOI = {10.1007/s00493-015-3191-y},
       URL = {https://doi.org/10.1007/s00493-015-3191-y},
}

@article{Beis,
    AUTHOR = {Beissinger, Janet Simpson},
     TITLE = {On external activity and inversions in trees},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {33},
      YEAR = {1982},
    NUMBER = {1},
     PAGES = {87--92},
      ISSN = {0095-8956},
   MRCLASS = {05C05},
  MRNUMBER = {678173},
MRREVIEWER = {J. W. Moon},
       DOI = {10.1016/0095-8956(82)90059-4},
       URL = {https://doi.org/10.1016/0095-8956(82)90059-4},
}

@article{aval-al-tree-like,
    AUTHOR = {Aval, Jean-Christophe and Boussicault, Adrien and Nadeau,
              Philippe},
     TITLE = {Tree-like tableaux},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {20},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {Paper 34, 24},
      ISSN = {1077-8926},
   MRCLASS = {05A05 (05A15 05A19)},
  MRNUMBER = {3158273},
MRREVIEWER = {Anthony A. Mendes},
}

@unpublished{oeis,
Title = {{OEIS} {F}oundation {I}nc. (2018), {T}he {O}n-{L}ine {E}ncyclopedia of {I}nteger {S}equences},
url = {http://oeis.org},
}

@INPROCEEDINGS{Red,
    author = {F. Redig},
    title = {Mathematical aspects of the {A}belian sandpile model},
    booktitle = {Lecture Notes of Les Houches Summer School 2005, Mathematical Statistical Physics, Session LXXXIII},
    year = {2006},
    publisher = {Elsevier}
}

@Article{Biggs,
    AUTHOR = {Biggs, N. L.},
     TITLE = {Chip-firing and the critical group of a graph},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {9},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {25--45},
      ISSN = {0925-9899},
   MRCLASS = {05C25 (20K01)},
  MRNUMBER = {1676732},
MRREVIEWER = {M. E. Watkins},
       DOI = {10.1023/A:1018611014097},
       URL = {https://doi.org/10.1023/A:1018611014097},
}


@unpublished{Cour,
Author =  {{Courtiel}, J.},
Note = 	{arXiv:1412.2081 [math.CO]},
Title = {A general notion of activity for the {T}utte polynomial},
}


@article{GS,
    AUTHOR = {Gessel, Ira M. and Sagan, Bruce E.},
     TITLE = {The {T}utte polynomial of a graph, depth-first search, and
              simplicial complex partitions},
      NOTE = {The Foata Festschrift},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {3},
      YEAR = {1996},
    NUMBER = {2},
     PAGES = {Research Paper 9, approx. 36},
      ISSN = {1077-8926},
   MRCLASS = {05C30 (05C05 68R10)},
  MRNUMBER = {1392494},
MRREVIEWER = {Konrad Engel},
       URL = {http://www.combinatorics.org/Volume_3/Abstracts/v3i2r9.html},
}

@article {koh-reh-conn-perm-graphs,
    AUTHOR = {Koh, Youngmee and Ree, Sangwook},
     TITLE = {Connected permutation graphs},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {307},
      YEAR = {2007},
    NUMBER = {21},
     PAGES = {2628--2635},
      ISSN = {0012-365X},
   MRCLASS = {05C62 (05C30)},
  MRNUMBER = {2359607},
MRREVIEWER = {Rog\'{e}rio V. Reis},
       DOI = {10.1016/j.disc.2006.11.014},
       URL = {https://doi.org/10.1016/j.disc.2006.11.014},
}

@Article{Tutte,
    Author = {W. T. {Tutte}},
    Title = {{A contribution to the theory of chromatic polynomials.}},
    FJournal = {{Canadian Journal of Mathematics}},
    Journal = {{Can. J. Math.}},
    ISSN = {0008-414X; 1496-4279/e},
    Volume = {6},
    Pages = {80--91},
    Year = {1954},
    Publisher = {Canadian Mathematical Society, Ottawa; Canada University of Toronto Press, Toronto},
    Language = {English},
    DOI = {10.4153/CJM-1954-010-9},
    Zbl = {0055.17101}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article {sss,
    AUTHOR = {Selig, Thomas and Smith, Jason P. and Steingr\'{i}msson, Einar},
     TITLE = {E{W}-tableaux, {L}e-tableaux, tree-like tableaux and the
              abelian sandpile model},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {25},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {Paper 3.14, 32},
      ISSN = {1077-8926},
   MRCLASS = {05A19 (05A05 05A15 60J10)},
  MRNUMBER = {3853866},
}

%%%%%%%%%%%%  EW-tableaux paper by SSS

@article {aval-dukes-al-operators,
    AUTHOR = {Aval, Jean-Christophe and D'Adderio, Michele and Dukes, Mark
              and Le Borgne, Yvan},
     TITLE = {Two operators on sandpile configurations, the sandpile model
              on the complete bipartite graph, and a cyclic lemma},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {73},
      YEAR = {2016},
     PAGES = {59--98},
      ISSN = {0196-8858},
   MRCLASS = {05C57 (05A15 05A19)},
  MRNUMBER = {3433501},
MRREVIEWER = {Ira Gessel},
       URL = {https://doi.org/10.1016/j.aam.2015.09.018},
}

@article {dukes-leborgne-polyominoes,
    AUTHOR = {Dukes, Mark and Le Borgne, Yvan},
     TITLE = {Parallelogram polyominoes, the sandpile model on a complete
              bipartite graph, and a {$q,t$}-{N}arayana polynomial},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {120},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {816--842},
      ISSN = {0097-3165},
   MRCLASS = {05B50},
  MRNUMBER = {3022616},
MRREVIEWER = {Anton Vladimirovich Shutov},
       URL = {https://doi.org/10.1016/j.jcta.2013.01.004},
}

@article{cor-nad,
  title={Permutation tableaux and permutation descents},
  author={Corteel, S and Nadeau, P},
  journal={Europ. J. Combin},
  volume={30},
  pages={295--310},
  year={2009}
}

@inproceedings{Sch,
  added-at = {2011-11-03T00:00:00.000+0100},
  author = {Schulz, Matthias},
  biburl = {http://www.bibsonomy.org/bibtex/2cc0acbe2aa82fcc9fe93fd7fb9db6d85/dblp},
  booktitle = {Automata},
  editor = {Fat\`es, Nazim and Kari, Jarkko and Worsch, Thomas},
  ee = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAL0108},
  interhash = {e79788f260c4df51bd903d66ae5c6381},
  intrahash = {cc0acbe2aa82fcc9fe93fd7fb9db6d85},
  keywords = {dblp},
  pages = {111-124},
  publisher = {DMTCS},
  series = {Discrete Mathematics and Theoretical Computer Science Proceedings},
  timestamp = {2011-11-10T11:33:53.000+0100},
  title = {Minimal Recurrent Configurations of Chip Firing Games and Directed Acyclic Graphs.},
  url = {http://dblp.uni-trier.de/db/conf/automata/automata2010.html#Schulz10},
  year = 2010
}

@Article{CLB,
    Author = {Robert {Cori} and Yvan {Le Borgne}},
    Title = {{The sand-pile model and Tutte polynomials.}},
    FJournal = {{Advances in Applied Mathematics}},
    Journal = {{Adv. Appl. Math.}},
    ISSN = {0196-8858},
    Volume = {30},
    Number = {1-2},
    Pages = {44--52},
    Year = {2003},
    Publisher = {Elsevier (Academic Press), San Diego, CA},
    Language = {English},
    DOI = {10.1016/S0196-8858(02)00524-9},
    MSC2010 = {05C30 05C05},
    Zbl = {1030.05058}
}

@article {nadeau-alt-tab,
    AUTHOR = {Nadeau, Philippe},
     TITLE = {The structure of alternative tableaux},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {118},
      YEAR = {2011},
    NUMBER = {5},
     PAGES = {1638--1660},
      ISSN = {0097-3165},
   MRCLASS = {05E10 (05A05 05A15 05A19 05C05 60K35)},
  MRNUMBER = {2771605},
MRREVIEWER = {Matthieu Josuat-Verg\`es},
       DOI = {10.1016/j.jcta.2011.01.012},
       URL = {https://doi.org/10.1016/j.jcta.2011.01.012},
}

@unpublished{viennot-alt-tableaux,
Author = {Viennot, Xavier},
	Title = {Alternative tableaux, permutations and partially asymmetric exclusion process, {I}saac {N}ewton {I}nstitute, {A}pril 2007, video and slides from a talk at the workshop \emph{Statistical-Mechanics and Quantum-Field Theory Methods in Combinatorial Enumeration}, \tt http://www.newton.ac.uk/webseminars/pg+ws/2008/csm/csmw04/0423/viennot},
	Url = {http://www.newton.ac.uk/webseminars/pg+ws/2008/csm/csmw04/0423/viennot/},
}


@article{aval-viennot-trees-alt-tableaux,
    AUTHOR = {Aval, J.-C. and Viennot, X.},
     TITLE = {The product of trees in the {L}oday-{R}onco algebra through
              {C}atalan alternative tableaux},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {63},
      YEAR = {2010},
     PAGES = {Art. B63h, 8},
      ISSN = {1286-4889},
   MRCLASS = {16T30 (05E10 05E15)},
  MRNUMBER = {2734036},
MRREVIEWER = {Mar\~A-a Ofelia Ronco},
}

@article{cla-gpa,
    AUTHOR = {Claesson, Anders},
     TITLE = {Generalized pattern avoidance},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {22},
      YEAR = {2001},
    NUMBER = {7},
     PAGES = {961--971},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (68R15)},
  MRNUMBER = {1857258 (2002h:05003)},
MRREVIEWER = {D. P. Roselle},
       DOI = {10.1006/eujc.2001.0515},
       URL = {http://dx.doi.org/10.1006/eujc.2001.0515},
}

@article {corteel-williams2,
    AUTHOR = {Corteel, Sylvie and Williams, Lauren K.},
     TITLE = {Tableaux combinatorics for the asymmetric exclusion process},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {39},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {293--310},
      ISSN = {0196-8858},
   MRCLASS = {05E10 (60C05)},
  MRNUMBER = {2352041 (2008g:05220)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1016/j.aam.2006.08.002},
       URL = {http://dx.doi.org/10.1016/j.aam.2006.08.002},
}

@article {corteel-williams-markov,
    AUTHOR = {Corteel, Sylvie and Williams, Lauren K.},
     TITLE = {A {M}arkov chain on permutations which projects to the
              {PASEP}},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2007},
    NUMBER = {17},
     PAGES = {Art. ID rnm055, 27},
      ISSN = {1073-7928},
   MRCLASS = {60J10 (05A05 05A30)},
  MRNUMBER = {2354800 (2008i:60124)},
MRREVIEWER = {Stuart G. Whittington},
       DOI = {10.1093/imrn/rnm055},
       URL = {http://dx.doi.org/10.1093/imrn/rnm055},
}

@book {foata-schutz,
    AUTHOR = {Foata, Dominique and Sch\"utzenberger, Marcel-P.},
     TITLE = {Th\'eorie g\'eom\'etrique des polyn\^omes eul\'eriens},
    SERIES = {Lecture Notes in Mathematics, Vol. 138},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1970},
     PAGES = {v+94},
   MRCLASS = {05.10},
  MRNUMBER = {0272642},
MRREVIEWER = {David P. Roselle},
}

@article{cort-mandel-will-koorn,
    AUTHOR = {Corteel, Sylvie and Mandelshtam, Olya and Williams, Lauren},
     TITLE = {Combinatorics of the two-species {ASEP} and {K}oornwinder
              moments},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {321},
      YEAR = {2017},
     PAGES = {160--204},
      ISSN = {0001-8708},
   MRCLASS = {82C22 (05D40 05E05 05E10 60J10)},
  MRNUMBER = {3715708},
MRREVIEWER = {Konrad P. Pi\'{o}ro},
       DOI = {10.1016/j.aim.2017.09.034},
       URL = {https://doi.org/10.1016/j.aim.2017.09.034},
}

@article {mandel-viennot-2-species-pasep,
    AUTHOR = {Mandelshtam, Olya and Viennot, Xavier},
     TITLE = {Tableaux combinatorics of the two-species {PASEP}},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {159},
      YEAR = {2018},
     PAGES = {215--239},
      ISSN = {0097-3165},
   MRCLASS = {05A19 (60K35)},
  MRNUMBER = {3820366},
MRREVIEWER = {Arvind Ayyer},
       DOI = {10.1016/j.jcta.2018.05.006},
       URL = {https://doi.org/10.1016/j.jcta.2018.05.006},
}

@article {mandelshtam-viennot-rhombic-alt-tab,
    AUTHOR = {Mandelshtam, Olya and Viennot, Xavier},
     TITLE = {Rhombic alternative tableaux and assembl\'{e}es of permutations},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {73},
      YEAR = {2018},
     PAGES = {1--19},
      ISSN = {0195-6698},
   MRCLASS = {05A15 (05A05 05A19)},
  MRNUMBER = {3836730},
MRREVIEWER = {Donatella Merlini},
       DOI = {10.1016/j.ejc.2018.05.002},
       URL = {https://doi.org/10.1016/j.ejc.2018.05.002},
}

@book {ec1e2,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}olume 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2012},
     PAGES = {xiv+626},
      ISBN = {978-1-107-60262-5},
   MRCLASS = {05-02 (05A15 06-02)},
  MRNUMBER = {2868112},
}
@article {greene-zaslavsky-orientations,
    AUTHOR = {Greene, Curtis and Zaslavsky, Thomas},
     TITLE = {On the interpretation of {W}hitney numbers through
              arrangements of hyperplanes, zonotopes, non-{R}adon
              partitions, and orientations of graphs},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {280},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {97--126},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {05B35 (05C20 51M20 52A25)},
  MRNUMBER = {712251},
MRREVIEWER = {P. McMullen},
       DOI = {10.2307/1999604},
       URL = {http://dx.doi.org/10.2307/1999604},
}
@article {ehr-stein-excset,
    AUTHOR = {Ehrenborg, Richard and Steingr{\'{\i}}msson, Einar},
     TITLE = {The excedance set of a permutation},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {24},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {284--299},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {1751147},
MRREVIEWER = {Jiang Zeng},
       DOI = {10.1006/aama.1999.0671},
       URL = {http://dx.doi.org/10.1006/aama.1999.0671},
}

@article {stein-williams,
    AUTHOR = {Steingr{\'{\i}}msson, Einar and Williams, Lauren K.},
     TITLE = {Permutation tableaux and permutation patterns},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {114},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {211--234},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05A05 (05A30)},
  MRNUMBER = {2293088},
MRREVIEWER = {Alexander I. Burstein},
       DOI = {10.1016/j.jcta.2006.04.001},
       URL = {http://dx.doi.org/10.1016/j.jcta.2006.04.001},
}

@unpublished{postnikov-webs,
Author = {Postnikov, Alex},
Note = {arXiv:math/0609764 [math.CO]},
Title = {Total positivity, {G}rassmannians, and networks}}



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

@article {elizalde-mcnamara-struct-consec,
    AUTHOR = {Elizalde, Sergi and McNamara, Peter R. W.},
     TITLE = {The structure of the consecutive pattern poset},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2018},
    NUMBER = {7},
     PAGES = {2099--2134},
      ISSN = {1073-7928},
   MRCLASS = {06A07 (05A05)},
  MRNUMBER = {3801480},
MRREVIEWER = {Robert Brignall},
       DOI = {10.1093/imrn/rnw293},
       URL = {https://doi.org/10.1093/imrn/rnw293},
}

@article {gasharov-neggers,
    AUTHOR = {Gasharov, Vesselin},
     TITLE = {On the {N}eggers-{S}tanley conjecture and the {E}ulerian
              polynomials},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {82},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {134--146},
      ISSN = {0097-3165},
   MRCLASS = {05A20 (05A15 06A06)},
  MRNUMBER = {1620853},
MRREVIEWER = {Ira Gessel},
       URL = {https://doi.org/10.1006/jcta.1997.2839},
}

@article {fravie,
    AUTHOR = {Fran\c{c}on, Jean and Viennot, G\'erard},
     TITLE = {Permutations selon leurs pics, creux, doubles mont\'ees et
              double descentes, nombres d'{E}uler et nombres de {G}enocchi},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {28},
      YEAR = {1979},
    NUMBER = {1},
     PAGES = {21--35},
      ISSN = {0012-365X},
   MRCLASS = {05A05 (10A40)},
  MRNUMBER = {542933},
MRREVIEWER = {Cheryl E. Praeger},
       URL = {https://doi.org/10.1016/0012-365X(79)90182-1},
}

@article {aval-dukes-al-operators,
    AUTHOR = {Aval, Jean-Christophe and D'Adderio, Michele and Dukes, Mark
              and Le Borgne, Yvan},
     TITLE = {Two operators on sandpile configurations, the sandpile model
              on the complete bipartite graph, and a cyclic lemma},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {73},
      YEAR = {2016},
     PAGES = {59--98},
      ISSN = {0196-8858},
   MRCLASS = {05C57 (05A15 05A19)},
  MRNUMBER = {3433501},
MRREVIEWER = {Ira Gessel},
       URL = {https://doi.org/10.1016/j.aam.2015.09.018},
}
@article {postnikov-intransitive-trees,
    AUTHOR = {Postnikov, Alexander},
     TITLE = {Intransitive trees},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {79},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {360--366},
      ISSN = {0097-3165},
   MRCLASS = {05C05 (05C30)},
  MRNUMBER = {1462563},
       URL = {https://doi.org/10.1006/jcta.1996.2735},
}

@article {margolius-inv,
    AUTHOR = {Margolius, Barbara H.},
     TITLE = {Permutations with inversions},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
    VOLUME = {4},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {Article 01.2.4, 13},
      ISSN = {1530-7638},
   MRCLASS = {05A05},
  MRNUMBER = {1873402},
MRREVIEWER = {A. N. Philippou},
}
@book {taocp-3,
    AUTHOR = {Knuth, Donald E.},
     TITLE = {The art of computer programming. {V}ol. 3},
      NOTE = {Sorting and searching,
              Second edition [of MR0445948]},
 PUBLISHER = {Addison-Wesley, Reading, MA},
      YEAR = {1998},
     PAGES = {xiv+780},
      ISBN = {0-201-89685-0},
   MRCLASS = {68-02},
  MRNUMBER = {3077154},
}

@article {garsia-wallach-qsym-free,
    AUTHOR = {Garsia, A. M. and Wallach, N.},
     TITLE = {Qsym over {S}ym is free},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {104},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {217--263},
      ISSN = {0097-3165},
   MRCLASS = {05E05},
  MRNUMBER = {2019274},
MRREVIEWER = {Frank Sottile},
       DOI = {10.1016/S0097-3165(03)00042-6},
       URL = {http://dx.doi.org/10.1016/S0097-3165(03)00042-6},
}

@article {glebov-al-graphons-permutons,
    AUTHOR = {Glebov, Roman and Grzesik, Andrzej and Klimo\v sov\'a, Tereza and
              Kr\'al', Daniel},
     TITLE = {Finitely forcible graphons and permutons},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {110},
      YEAR = {2015},
     PAGES = {112--135},
      ISSN = {0095-8956},
   MRCLASS = {05C80 (05A05)},
  MRNUMBER = {3279390},
MRREVIEWER = {Lyuben R. Mutafchiev},
       DOI = {10.1016/j.jctb.2014.07.007},
       URL = {http://dx.doi.org/10.1016/j.jctb.2014.07.007},
}

@unpublished{vatter-growth-rates-countable-un,
Author = {Vatter, Vincent},
Note = {arXiv:1605.04297 [math.CO]},
Title = {Growth rates of permutation classes: from countable to uncountable},
}

@unpublished{pantone-vatter-growth-rates-threshold,
Author = {Pantone, Jay and Vatter, Vincent},
Note = {Israel J. Math, to appear. arXiv:1605.04289 [math.CO]},
Title = {Growth rates of permutation classes: categorization up to the uncountability threshold},
}

@article {bevan-intervals-growth-rates,
    AUTHOR = {Bevan, David},
     TITLE = {Intervals of permutation class growth rates},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {38},
      YEAR = {2018},
    NUMBER = {2},
     PAGES = {279--303},
      ISSN = {0209-9683},
   MRCLASS = {05A05 (05A16)},
  MRNUMBER = {3800842},
MRREVIEWER = {Juanjo Ru\'{e}},
       DOI = {10.1007/s00493-016-3349-2},
       URL = {https://doi.org/10.1007/s00493-016-3349-2},
}

@unpublished{madras-yildirim-monotone-rare,
Author = {Madras, Neal and Yıldırım, Gökhan},
Note = {arXiv:1608.06326 [math.CO]},
Title = {Longest monotone subsequences and rare regions of pattern-avoiding permutations},
}

@phdthesis{bevan-thesis,
  author = {D. Bevan},
  title = {On the growth of permutation classes},
  school = {The Open Univ.},
  year = {2015},
  owner = {David},
  quality = {1},
  timestamp = {2015.06.08}
}


@article{dokos-pak-shape-baxter,
    AUTHOR = {Dokos, Theodore and Pak, Igor},
     TITLE = {The expected shape of random doubly alternating {B}axter
              permutations},
   JOURNAL = {Online J. Anal. Comb.},
  FJOURNAL = {Online Journal of Analytic Combinatorics},
    NUMBER = {9},
      YEAR = {2014},
     PAGES = {12},
      ISSN = {1931-3365},
   MRCLASS = {05A05 (05A15 05A16)},
  MRNUMBER = {3238333},
MRREVIEWER = {Eugenijus Manstavi\v cius},
}

@article{atapour-madras-large-dev-patt-perm,
    AUTHOR = {Atapour, Mahshid and Madras, Neal},
     TITLE = {Large deviations and ratio limit theorems for pattern-avoiding
              permutations},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {23},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {161--200},
      ISSN = {0963-5483},
   MRCLASS = {60C05 (05A05 05A16 60F10)},
  MRNUMBER = {3166466},
MRREVIEWER = {Felipe Torres},
       DOI = {10.1017/S0963548313000576},
       URL = {http://dx.doi.org/10.1017/S0963548313000576},
}

@phdthesis{miner-thesis,
  author = {S. Miner},
  title = {Limit Shapes of Restricted Permutations},
  school = {Univ. of California, Los Angeles},
  year = {2015},
  owner = {David},
  quality = {1},
  timestamp = {2015.06.08}
}

@article{miner-pak-shape-rand-patt,
  author = {Miner, S. and Pak, I.},
  title = {The shape of random pattern-avoiding permutations},
  journal = {Adv. in Appl. Math.},
  year = {2014},
  volume = {55},
  doi = {10.1016/j.aam.2013.12.004},
  fjournal = {Advances in Applied Mathematics},
  issn = {0196-8858},
  mrclass = {Preliminary Data},
  mrnumber = {3176717},
  url = {http://dx.doi.org/10.1016/j.aam.2013.12.004}
}


@article {hoffman-al-patt-perm-brownian,
    AUTHOR = {Hoffman, Christopher and Rizzolo, Douglas and Slivken, Erik},
     TITLE = {Pattern-avoiding permutations and {B}rownian excursion {P}art
              {I}: shapes and fluctuations},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {50},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {394--419},
      ISSN = {1042-9832},
   MRCLASS = {05A05 (05A15 60C05 60F17)},
  MRNUMBER = {3632417},
       DOI = {10.1002/rsa.20677},
       URL = {http://dx.doi.org/10.1002/rsa.20677},
}

@article{hoppen-al-limits-perm-seqs,
  author = {Hoppen, C. and Kohayakawa, Y. and Moreira, C. G. and R{\'a}th, B.
	and Sampaio, R. M.},
  title = {Limits of permutation sequences},
  journal = {J.~Combin. Theory Ser.~B},
  year = {2013},
  volume = {103},
  number = {1},
  coden = {JCBTB8},
  doi = {10.1016/j.jctb.2012.09.003},
  fjournal = {Journal of Combinatorial Theory. Series B},
  issn = {0095-8956},
  mrclass = {05A05 (60B10)},
  mrnumber = {2995721},
  url = {http://dx.doi.org/10.1016/j.jctb.2012.09.003}
}

@article {vatter-small-classes,
    AUTHOR = {Vatter, Vincent},
     TITLE = {Small permutation classes},
   JOURNAL = {Proc. Lond. Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {103},
      YEAR = {2011},
    NUMBER = {5},
     PAGES = {879--921},
      ISSN = {0024-6115},
   MRCLASS = {05A05 (05A16 06A07)},
  MRNUMBER = {2852292},
MRREVIEWER = {Antonio Bernini},
       DOI = {10.1112/plms/pdr017},
       URL = {http://dx.doi.org/10.1112/plms/pdr017},
}

@article {bevan-grid-classes-spectral,
    AUTHOR = {Bevan, David},
     TITLE = {Growth rates of permutation grid classes, tours on graphs, and
              the spectral radius},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {367},
      YEAR = {2015},
    NUMBER = {8},
     PAGES = {5863--5889},
      ISSN = {0002-9947},
   MRCLASS = {05A05 (05A16 05C30 05C38 05C50)},
  MRNUMBER = {3347191},
MRREVIEWER = {Timothy Y. Chow},
       DOI = {10.1090/S0002-9947-2015-06280-1},
       URL = {http://dx.doi.org/10.1090/S0002-9947-2015-06280-1},
}

@incollection {vatter-classes-handbook,
    AUTHOR = {Vatter, Vincent},
     TITLE = {Permutation classes},
 BOOKTITLE = {Handbook of enumerative combinatorics},
    SERIES = {Discrete Math. Appl. (Boca Raton)},
     PAGES = {753--833},
 PUBLISHER = {CRC Press, Boca Raton, FL},
      YEAR = {2015},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {3409353},
}

@article {bevan-1324-luka,
    AUTHOR = {Bevan, David},
     TITLE = {Permutations avoiding 1324 and patterns in \L ukasiewicz paths},
   JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {92},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {105--122},
      ISSN = {0024-6107},
   MRCLASS = {05A05 (05A16 60C05)},
  MRNUMBER = {3384507},
MRREVIEWER = {Jia Huang},
       DOI = {10.1112/jlms/jdv020},
       URL = {http://dx.doi.org/10.1112/jlms/jdv020},
}

@article{bevan-al-staircase-1324,
  title={Staircases, dominoes, and the growth rate of 1324-avoiders},
  author={Bevan, David and Brignall, Robert and Price, Andrew Elvey and Pantone, Jay},
  journal={Electronic Notes in Discrete Mathematics},
  volume={61},
  pages={123--129},
  year={2017},
  publisher={Elsevier}
}

@article{smith-mf-topo-genpatt,
    AUTHOR = {Smith, Jason P.},
     TITLE = {On the {M}\"{o}bius function and topology of general pattern
              posets},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {26},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {Paper No. 1.49, 26},
   MRCLASS = {06A07 (05A05 06A11)},
  MRNUMBER = {3934380},
MRREVIEWER = {Adam Hammett},
}

@article{smith-mf-topo-decomp,
    AUTHOR = {Smith, Jason P.},
     TITLE = {A formula for the {M}\"obius function of the permutation poset
              based on a topological decomposition},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {91},
      YEAR = {2017},
     PAGES = {98--114},
      ISSN = {0196-8858},
   MRCLASS = {05E45 (05A05 06A07)},
  MRNUMBER = {3673581},
       DOI = {10.1016/j.aam.2017.06.002},
       URL = {http://dx.doi.org/10.1016/j.aam.2017.06.002},
}

@unpublished{remmel-wilson-ordpart,
Author = {Remmel, Jeffrey B. and Wilson, Andrew Timothy},
Note = {},
Title = {Statistics on ordered partitions of sets},
}

@article {es-stat-ord-part,
    AUTHOR = {Steingr\'{\i}msson, Einar},
     TITLE = {Statistics on ordered partitions of sets},
   JOURNAL = {J. Comb.},
  FJOURNAL = {Journal of Combinatorics},
    VOLUME = {11},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {557--574},
      ISSN = {2156-3527},
   MRCLASS = {05A17 (05A19 05A30)},
  MRNUMBER = {4101329},
       DOI = {10.4310/JOC.2020.v11.n3.a8},
       URL = {https://doi.org/10.4310/JOC.2020.v11.n3.a8},
}

@unpublished{es-stat-ord-part-arxiv,
Author = {Steingrimsson, Einar},
Note = {arXiv:math/0605670 [math.CO]},
Title = {Statistics on ordered partitions of sets},
}

@unpublished{bevan-avoiding-1324,
Author = {Bevan, David},
Note = {arXiv:1406.2890 [math.CO]},
Title = {Permutations avoiding 1324 and patterns in Łukasiewicz paths},
}

@unpublished{fox-sw-limits-exponential,
Author = {Fox, Jacob},
Note = {arXiv:1310.8378 [math.CO]},
Title = {Stanley-Wilf limits are typically exponential},
}

@article {conway-guttmann-1324,
    AUTHOR = {Conway, Andrew R. and Guttmann, Anthony J.},
     TITLE = {On 1324-avoiding permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {64},
      YEAR = {2015},
     PAGES = {50--69},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15 05A16)},
  MRNUMBER = {3300327},
MRREVIEWER = {Antonio Bernini},
       DOI = {10.1016/j.aam.2014.12.004},
       URL = {http://dx.doi.org/10.1016/j.aam.2014.12.004},
}

@article {dukes-al-web,
    AUTHOR = {Dukes, Mark and Gardi, Einan and Steingr{\'{\i}}msson, Einar
              and White, Chris D.},
     TITLE = {Web worlds, web-colouring matrices, and web-mixing matrices},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {120},
      YEAR = {2013},
    NUMBER = {5},
     PAGES = {1012--1037},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05C15 (06A06 81T18)},
  MRNUMBER = {3033658},
MRREVIEWER = {Thomas Britz},
       DOI = {10.1016/j.jcta.2013.02.001},
       URL = {http://dx.doi.org/10.1016/j.jcta.2013.02.001},
}

@article {corteel-williams-asep-askey-wilson,
    AUTHOR = {Corteel, Sylvie and Williams, Lauren K.},
     TITLE = {Tableaux combinatorics for the asymmetric exclusion process
              and {A}skey-{W}ilson polynomials},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {159},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {385--415},
      ISSN = {0012-7094},
   MRCLASS = {05E10 (33C45 60K35 82C22)},
  MRNUMBER = {2831874},
MRREVIEWER = {Timo Sepp\"{a}l\"{a}inen},
       DOI = {10.1215/00127094-1433385},
       URL = {https://doi.org/10.1215/00127094-1433385},
}

@article {corteel-al-formulae-askey,
    AUTHOR = {Corteel, S. and Stanley, R. and Stanton, D. and Williams, L.},
     TITLE = {Formulae for {A}skey-{W}ilson moments and enumeration of
              staircase tableaux},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {364},
      YEAR = {2012},
    NUMBER = {11},
     PAGES = {6009--6037},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {05A15 (33C45 82B23)},
  MRNUMBER = {2946941},
MRREVIEWER = {Matthieu Josuat-Verg{\`e}s},
       DOI = {10.1090/S0002-9947-2012-05588-7},
       URL = {http://dx.doi.org/10.1090/S0002-9947-2012-05588-7},
}


@book {es-thesis,
    AUTHOR = {Steingrimsson, Einar},
     TITLE = {Permutations statistics of indexed and poset permutations},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1992},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2716358},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0571838},
}

@article {es-indexed,
    AUTHOR = {Steingr{\'{\i}}msson, Einar},
     TITLE = {Permutation statistics of indexed permutations},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {15},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {187--205},
      ISSN = {0195-6698},
   MRCLASS = {05A15 (05E15)},
  MRNUMBER = {1261065 (95g:05009)},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1006/eujc.1994.1021},
       URL = {http://dx.doi.org/10.1006/eujc.1994.1021},
}

@article {es-coloring-cplx,
    AUTHOR = {Steingr{\'{\i}}msson, Einar},
     TITLE = {The coloring ideal and coloring complex of a graph},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {14},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {73--84},
      ISSN = {0925-9899},
     CODEN = {JAOME7},
   MRCLASS = {13F55 (05C15 55U10)},
  MRNUMBER = {1856230 (2002h:13032)},
MRREVIEWER = {Timothy Y. Chow},
       DOI = {10.1023/A:1011222121664},
       URL = {http://dx.doi.org/10.1023/A:1011222121664},
}

@article {kasraoui-wilf-vincular,
    AUTHOR = {Kasraoui, Anisse},
     TITLE = {New {W}ilf-equivalence results for vincular patterns},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {34},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {322--337},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (05A15 06A07)},
  MRNUMBER = {2994402},
MRREVIEWER = {Astrid Reifegerste},
       DOI = {10.1016/j.ejc.2012.07.006},
       URL = {http://dx.doi.org/10.1016/j.ejc.2012.07.006},
}

@article {johansson-nakamura-1324,
    AUTHOR = {Johansson, Fredrik and Nakamura, Brian},
     TITLE = {Using functional equations to enumerate 1324-avoiding
              permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {56},
      YEAR = {2014},
     PAGES = {20--34},
      ISSN = {0196-8858},
   MRCLASS = {Preliminary Data},
  MRNUMBER = {3194205},
       DOI = {10.1016/j.aam.2014.01.006},
       URL = {http://dx.doi.org/10.1016/j.aam.2014.01.006},
}
@incollection {wachs-poset-topology,
    AUTHOR = {Wachs, Michelle L.},
     TITLE = {Poset topology: tools and applications},
 BOOKTITLE = {Geometric combinatorics},
    SERIES = {IAS/Park City Math. Ser.},
    VOLUME = {13},
     PAGES = {497--615},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2007},
   MRCLASS = {06B30 (05E10 52C35 55R80)},
  MRNUMBER = {2383132},
}

@article {forman-user-guide,
    AUTHOR = {Forman, Robin},
     TITLE = {A user's guide to discrete {M}orse theory},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {48},
      YEAR = {2002},
     PAGES = {Art.\ B48c, 35},
      ISSN = {1286-4889},
   MRCLASS = {57Q05 (57R70)},
  MRNUMBER = {1939695 (2003j:57040)},
MRREVIEWER = {Wolfgang K{\"u}hnel},
}

@manual{gap4,
    key          = "GAP",
    organization = "The GAP~Group",
    title        = "{GAP -- Groups, Algorithms, and Programming,
                    Version 4.5.6}",
    year         = 2013,
    url          = "\verb+(http://www.gap-system.org)+",
    }

@article {smith-shelling-fixed-des,
    AUTHOR = {Smith, Jason P.},
     TITLE = {Intervals of permutations with a fixed number of descents are
              shellable},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {339},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {118--126},
      ISSN = {0012-365X},
   MRCLASS = {05A05 (05A15 06A07)},
  MRNUMBER = {3404474},
MRREVIEWER = {Nik Lygeros},
       DOI = {10.1016/j.disc.2015.08.004},
       URL = {http://dx.doi.org/10.1016/j.disc.2015.08.004},
}

@article{smith-mobius-one-des,
Author = {Smith, Jason P.},
Title = {On the {M}öbius Function of Permutations With One Descent},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {Research paper 2.11, 19 pp. (electronic)},
       URL = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2r9.html},
}

@article {shareshian-white-torsion,
    AUTHOR = {Shareshian, John and Wachs, Michelle L.},
     TITLE = {Torsion in the matching complex and chessboard complex},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {212},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {525--570},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {55U10 (05C70 05E10 05E25)},
  MRNUMBER = {2329312 (2008d:55012)},
MRREVIEWER = {Rade {\v{Z}}ivaljevi{\'c}},
       DOI = {10.1016/j.aim.2006.10.014},
       URL = {http://dx.doi.org/10.1016/j.aim.2006.10.014},
}

@article {severs-white-parabolic,
    AUTHOR = {Severs, Christopher and White, Jacob A.},
     TITLE = {On the homology of the real complement of the {$k$}-parabolic
              subspace arrangement},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {6},
     PAGES = {1336--1350},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05E45 (52C35)},
  MRNUMBER = {2915650},
MRREVIEWER = {Colin Wilmott},
       DOI = {10.1016/j.jcta.2012.03.008},
       URL = {http://dx.doi.org/10.1016/j.jcta.2012.03.008},
}

@article {babson-hersh,
    AUTHOR = {Babson, Eric and Hersh, Patricia},
     TITLE = {Discrete {M}orse functions from lexicographic orders},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {357},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {509--534 (electronic)},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {05E25 (06A07 55P15)},
  MRNUMBER = {2095621 (2006d:05185)},
MRREVIEWER = {G{\'a}bor Hetyei},
       DOI = {10.1090/S0002-9947-04-03495-6},
       URL = {http://dx.doi.org/10.1090/S0002-9947-04-03495-6},
}

@incollection {bjorner-subword,
    AUTHOR = {Bj{\"o}rner, Anders},
     TITLE = {The {M}\"obius function of subword order},
 BOOKTITLE = {Invariant theory and tableaux ({M}inneapolis, {MN}, 1988)},
    SERIES = {IMA Vol. Math. Appl.},
    VOLUME = {19},
     PAGES = {118--124},
 PUBLISHER = {Springer},
   ADDRESS = {New York},
      YEAR = {1990},
   MRCLASS = {05E25 (06A08)},
  MRNUMBER = {1035492 (91c:05200)},
MRREVIEWER = {Marilena Barnabei},
}

@article {mcnamara-es-topo,
    AUTHOR = {McNamara, Peter R. W. and Steingr\'imsson, Einar},
     TITLE = {On the topology of the permutation pattern poset},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {134},
      YEAR = {2015},
     PAGES = {1--35},
      ISSN = {0097-3165},
   MRCLASS = {05E45 (05A05 06A07 52B22)},
  MRNUMBER = {3345294},
MRREVIEWER = {Joseph Kung},
       DOI = {10.1016/j.jcta.2015.02.009},
       URL = {http://dx.doi.org/10.1016/j.jcta.2015.02.009},
}

@article {MR2810536,
    AUTHOR = {Gudmundsson, Hilmar Haukur},
     TITLE = {Dyck paths, standard {Y}oung tableaux, and pattern avoiding
              permutations},
   JOURNAL = {Pure Math. Appl. (PU.M.A.)},
  FJOURNAL = {Pure Mathematics and Applications. PU.M.A.},
    VOLUME = {21},
      YEAR = {2010},
    NUMBER = {2},
     PAGES = {265--284},
      ISSN = {1218-4586},
   MRCLASS = {05A05 (05A15 05E10)},
  MRNUMBER = {2810536 (2012g:05005)},
MRREVIEWER = {Francesco Regonati},
}

@inproceedings {MR2762462,
    AUTHOR = {Heubach, Silvia and Kitaev, Sergey},
     TITLE = {Avoiding substrings in compositions},
 BOOKTITLE = {Proceedings of the {F}orty-{F}irst {S}outheastern
              {I}nternational {C}onference on {C}ombinatorics, {G}raph
              {T}heory and {C}omputing},
   JOURNAL = {Congr. Numer.},
  FJOURNAL = {Congressus Numerantium. A Conference Journal on Numerical
              Themes},
    VOLUME = {202},
      YEAR = {2010},
     PAGES = {87--95},
      ISSN = {0384-9864},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2762462 (2012a:05016)},
}

@article {fan-claesson-al-descent-drop,
    AUTHOR = {Chung, Fan and Claesson, Anders and Dukes, Mark and Graham,
              Ronald},
     TITLE = {Descent polynomials for permutations with bounded drop size},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {31},
      YEAR = {2010},
    NUMBER = {7},
     PAGES = {1853--1867},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2673024 (2011k:05004)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1016/j.ejc.2010.01.011},
       URL = {http://dx.doi.org/10.1016/j.ejc.2010.01.011},
}


@unpublished{parviainen-wilf-bivincular,
Author = {Parviainen, Robert},
Note = {arXiv:0910.5103 [math.CO]},
Title = {Wilf classification of bi-vincular permutation patterns},
}

@article{albert-al-inflations,
Author = {Albert, Micahel and  Ru{\v{s}}kuc, Nik and Vatter, Vincent},
JOURNAL = {Israel J. Math.},
Title = {Inflations of geometric grid classes of permutations},
Year = {to appear},
}
	
@unpublished{albert-atkinson-vatter-inflations-case,
Author = {Albert, Michael and Atkinson, Mike and Vatter, Vincent},
Note = {arXiv:1209.0425 [math.CO]},
Title = {Inflations of Geometric Grid Classes: Three Case Studies},
}
	
@article{albert-al-large-infinite-antichains,
Author = {Albert, Micahel and Brignall, Robert and Vatter, Vincent},
JOURNAL = {Pure Math. Appl.},
Title = {Large infinite antichains of permutations},
Year = {to appear},
}
	
@unpublishe{brignall-al-linear-clique-width,
Author = {Brignall, Robert and Korpelainen, Nicholas and Vatter, Vincent},
Note = {arXiv:1305.0636 [math.CO]},
Title = {Linear Clique-Width for Subclasses of Cographs, With Connections to Permutations}
}

@article {brignall-huczynska-vatter-decomposing,
    AUTHOR = {Brignall, Robert and Huczynska, Sophie and Vatter, Vincent},
     TITLE = {Decomposing simple permutations, with enumerative
              consequences},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {28},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {385--400},
      ISSN = {0209-9683},
   MRCLASS = {05A05 (05A15 05D99 06A07)},
  MRNUMBER = {2452841 (2009g:05001)},
MRREVIEWER = {Toufik Mansour},
       DOI = {10.1007/s00493-008-2314-0},
       URL = {http://dx.doi.org/10.1007/s00493-008-2314-0},
}

@article {brignall-huczynska-vatter-simple-algebraic,
    AUTHOR = {Brignall, Robert and Huczynska, Sophie and Vatter, Vincent},
     TITLE = {Simple permutations and algebraic generating functions},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {115},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {423--441},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05A15 (05A05)},
  MRNUMBER = {2402603 (2009a:05005)},
MRREVIEWER = {Eric S. Egge},
       DOI = {10.1016/j.jcta.2007.06.007},
       URL = {http://dx.doi.org/10.1016/j.jcta.2007.06.007},
}

@article {brignall-ruskuc-vatter-decidability,
    AUTHOR = {Brignall, Robert and Ru{\v{s}}kuc, Nik and Vatter, Vincent},
     TITLE = {Simple permutations: decidability and unavoidable
              substructures},
   JOURNAL = {Theoret. Comput. Sci.},
  FJOURNAL = {Theoretical Computer Science},
    VOLUME = {391},
      YEAR = {2008},
    NUMBER = {1-2},
     PAGES = {150--163},
      ISSN = {0304-3975},
     CODEN = {TCSDI},
   MRCLASS = {05A05 (03B25 68Q45)},
  MRNUMBER = {2381360 (2008k:05001)},
MRREVIEWER = {Paul Klingsberg},
       DOI = {10.1016/j.tcs.2007.10.037},
       URL = {http://dx.doi.org/10.1016/j.tcs.2007.10.037},
}

@article {albert-al-geometric-grid-classes,
    AUTHOR = {Albert, Michael H. and Atkinson, M. D. and Bouvel, Mathilde
              and Ru{\v{s}}kuc, Nik and Vatter, Vincent},
     TITLE = {Geometric grid classes of permutations},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {365},
      YEAR = {2013},
    NUMBER = {11},
     PAGES = {5859--5881},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {Preliminary Data},
  MRNUMBER = {3091268},
       DOI = {10.1090/S0002-9947-2013-05804-7},
       URL = {http://dx.doi.org/10.1090/S0002-9947-2013-05804-7},
}



@article {rogers-asc-seqs,
    AUTHOR = {Rogers, D. G.},
     TITLE = {Ascending sequences in permutations},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {22},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {35--40},
      ISSN = {0012-365X},
     CODEN = {DSMHA4},
   MRCLASS = {05A19 (05A05)},
  MRNUMBER = {522909 (80a:05020)},
MRREVIEWER = {E. Keith Lloyd},
       DOI = {10.1016/0012-365X(78)90044-4},
       URL = {http://dx.doi.org/10.1016/0012-365X(78)90044-4},
}

@book {macmahon,
    AUTHOR = {MacMahon, Percy A.},
     TITLE = {Combinatory analysis. {V}ol. {I}, {II} (bound in one volume)},
    SERIES = {Dover Phoenix Editions},
      NOTE = {Reprint of {{\i}t An introduction to combinatory analysis}
              (1920) and {{\i}t Combinatory analysis. Vol. I, II} (1915,
              1916)},
 PUBLISHER = {Dover Publications Inc.},
   ADDRESS = {Mineola, NY},
      YEAR = {2004},
     PAGES = {ii+761},
      ISBN = {0-486-49586-8},
   MRCLASS = {05-02 (01A75)},
  MRNUMBER = {2417935 (2009e:05002)},
}

@article {bjorner-wachs-lex-shellable-posets,
    AUTHOR = {Bj{\"o}rner, Anders and Wachs, Michelle},
     TITLE = {On lexicographically shellable posets},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {277},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {323--341},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {06A10 (05A99 52A25 57Q05)},
  MRNUMBER = {690055 (84f:06004)},
MRREVIEWER = {R. P. Dilworth},
       DOI = {10.2307/1999359},
       URL = {http://dx.doi.org/10.2307/1999359},
}

@article {williams-enumeration-grassmann,
    AUTHOR = {Williams, Lauren K.},
     TITLE = {Enumeration of totally positive {G}rassmann cells},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {190},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {319--342},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {05E15 (05A15 14M15)},
  MRNUMBER = {2102660 (2005i:05197)},
MRREVIEWER = {Gregory S. Warrington},
       DOI = {10.1016/j.aim.2004.01.003},
       URL = {http://dx.doi.org/10.1016/j.aim.2004.01.003},
}

@article {parviainen-lattice,
    AUTHOR = {Parviainen, Robert},
     TITLE = {Lattice path enumeration of permutations with {$k$}
              occurrences of the pattern 2-13},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
    VOLUME = {9},
      YEAR = {2006},
    NUMBER = {3},
     PAGES = {Article 06.3.2, 8},
      ISSN = {1530-7638},
   MRCLASS = {05A15},
  MRNUMBER = {2240852 (2007c:05010)},
MRREVIEWER = {Sen-Peng Eu},
}

@article {mans-vain,
    AUTHOR = {Mansour, Toufik and Vainshtein, Alek},
     TITLE = {Counting occurrences of 132 in a permutation},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {28},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {185--195},
      ISSN = {0196-8858},
   MRCLASS = {05A05},
  MRNUMBER = {1888843 (2002m:05002)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1006/aama.2001.0773},
       URL = {http://dx.doi.org/10.1006/aama.2001.0773},
}

@book {goulden-jackson,
    AUTHOR = {Goulden, I. P. and Jackson, D. M.},
     TITLE = {Combinatorial enumeration},
    SERIES = {A Wiley-Interscience Publication},
      NOTE = {With a foreword by Gian-Carlo Rota,
              Wiley-Interscience Series in Discrete Mathematics},
 PUBLISHER = {John Wiley \& Sons Inc.},
   ADDRESS = {New York},
      YEAR = {1983},
     PAGES = {xxiv+569},
      ISBN = {0-471-86654-7},
   MRCLASS = {05-02 (05A15)},
  MRNUMBER = {702512 (84m:05002)},
MRREVIEWER = {R. W. Robinson},
}

@article {csz,
    AUTHOR = {Clarke, Robert J. and Steingr{\'{\i}}msson, Einar and Zeng, Jiang},
     TITLE = {New {E}uler-{M}ahonian statistics on permutations and words},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {18},
      YEAR = {1997},
    NUMBER = {3},
     PAGES = {237--270},
      ISSN = {0196-8858},
   MRCLASS = {05A15},
  MRNUMBER = {1436481 (97m:05008)},
MRREVIEWER = {Peter Kirschenhofer},
       DOI = {10.1006/aama.1996.0506},
       URL = {http://dx.doi.org/10.1006/aama.1996.0506},
}

@article {cla-mans-count,
    AUTHOR = {Claesson, Anders and Mansour, Toufik},
     TITLE = {Counting occurrences of a pattern of type {$(1,2)$} or
              {$(2,1)$} in permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {29},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {293--310},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15 30B70)},
  MRNUMBER = {1928101 (2003g:05004)},
MRREVIEWER = {Alexander I. Burstein},
       DOI = {10.1016/S0196-8858(02)00012-X},
       URL = {http://dx.doi.org/10.1016/S0196-8858(02)00012-X},
}

@article {brig-rusk-vatt-decid,
    AUTHOR = {Brignall, Robert and Ru{\v{s}}kuc, Nik and Vatter, Vincent},
     TITLE = {Simple permutations: decidability and unavoidable
              substructures},
   JOURNAL = {Theoret. Comput. Sci.},
  FJOURNAL = {Theoretical Computer Science},
    VOLUME = {391},
      YEAR = {2008},
    NUMBER = {1-2},
     PAGES = {150--163},
      ISSN = {0304-3975},
     CODEN = {TCSDI},
   MRCLASS = {05A05 (03B25 68Q45)},
  MRNUMBER = {2381360 (2008k:05001)},
MRREVIEWER = {Paul Klingsberg},
       DOI = {10.1016/j.tcs.2007.10.037},
       URL = {http://dx.doi.org/10.1016/j.tcs.2007.10.037},
}

@article {ulfarsson-unification,
    AUTHOR = {{\'U}lfarsson, Henning},
     TITLE = {A unification of permutation patterns related to {S}chubert
              varieties},
   JOURNAL = {Pure Math. Appl. (PU.M.A.)},
  FJOURNAL = {Pure Mathematics and Applications. PU.M.A.},
    VOLUME = {22},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {273--296},
      ISSN = {1218-4586},
   MRCLASS = {05A05 (14Nxx)},
  MRNUMBER = {2924751},
}

@article {bonichon-al-baxter,
    AUTHOR = {Bonichon, Nicolas and Bousquet-M{\'e}lou, Mireille and Fusy,
              {\'E}ric},
     TITLE = {Baxter permutations and plane bipolar orientations},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {61A},
      YEAR = {2009/10},
     PAGES = {Art. B61Ah, 29},
      ISSN = {1286-4889},
   MRCLASS = {05A15 (05A05 05A19 05C30)},
  MRNUMBER = {2734180 (2011m:05023)},
MRREVIEWER = {Timothy Y. Chow},
}

@unpublished{regev-asymp-young,
Author = {Regev, Amitai},
Note = {arXiv:1004.4476 [math.CO]},
Title = {Asymptotics of Young tableaux in the strip, the $d$-sums}}
	

@article {ulfarsson-west-3,
    AUTHOR = {Ulfarsson, Henning},
     TITLE = {Describing West-3-Stack-Sortable Permutations with Permutation Patterns},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {67},
      YEAR = {2012},
     PAGES = {Art. B67d, 20},
}

@article {albert-atkinson-forklift,
    AUTHOR = {Albert, M. H. and Atkinson, M. D.},
     TITLE = {Sorting with a forklift},
      NOTE = {Permutation patterns (Otago, 2003)},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {9},
      YEAR = {2002/03},
    NUMBER = {2},
     PAGES = {Research paper 9, 23 pp. (electronic)},
      ISSN = {1077-8926},
   MRCLASS = {05A15 (05A16 68P05 68P10 68R05)},
  MRNUMBER = {2028279 (2004j:05011)},
MRREVIEWER = {Volker Strehl},
       URL = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2r9.html},
}

@article {albert-atkinson-linton,
    AUTHOR = {Albert, Michael and Atkinson, Mike and Linton, Steve},
     TITLE = {Permutations generated by stacks and deques},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {14},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {3--16},
      ISSN = {0218-0006},
   MRCLASS = {05A05 (05A16 68Q45)},
  MRNUMBER = {2601797 (2011b:05001)},
       DOI = {10.1007/s00026-010-0042-9},
       URL = {http://dx.doi.org/10.1007/s00026-010-0042-9},
}

@article {bona-tenacious,
    AUTHOR = {B{\'o}na, Mikl{\'o}s},
     TITLE = {A simple proof for the exponential upper bound for some
              tenacious patterns},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {33},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {192--198},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2064603 (2005b:05004)},
MRREVIEWER = {Eric S. Egge},
       DOI = {10.1016/j.aam.2003.07.003},
       URL = {http://dx.doi.org/10.1016/j.aam.2003.07.003},
}

@article {bafna:genome-rearrang:,
    AUTHOR = {Bafna, Vineet and Pevzner, Pavel A.},
     TITLE = {Genome rearrangements and sorting by reversals},
   JOURNAL = {SIAM J. Comput.},
  FJOURNAL = {SIAM Journal on Computing},
    VOLUME = {25},
      YEAR = {1996},
    NUMBER = {2},
     PAGES = {272--289},
      ISSN = {0097-5397},
     CODEN = {SMJCAT},
   MRCLASS = {92D20 (68R05 92C40)},
  MRNUMBER = {1379301 (97d:92007)},
MRREVIEWER = {James L. Cornette},
       DOI = {10.1137/S0097539793250627},
       URL = {http://dx.doi.org/10.1137/S0097539793250627},
}

@article {callan-eigen,
    AUTHOR = {Callan, David},
     TITLE = {A combinatorial interpretation of the eigensequence for
              composition},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
    VOLUME = {9},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {Article 06.1.4, 12 pp. (electronic)},
      ISSN = {1530-7638},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2193154 (2007b:05002)},
MRREVIEWER = {Alexander I. Burstein},
}

@article {cla-kit-bijections,
    AUTHOR = {Claesson, Anders and Kitaev, Sergey},
     TITLE = {Classification of bijections between 321- and 132-avoiding
              permutations},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {60},
      YEAR = {2008/09},
     PAGES = {Art. B60d, 30},
      ISSN = {1286-4889},
   MRCLASS = {05A05 (05A19)},
  MRNUMBER = {2465405 (2010g:05011)},
MRREVIEWER = {Daniel E. Warren},
}

@article {corteel-crossings,
    AUTHOR = {Corteel, Sylvie},
     TITLE = {Crossings and alignments of permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {38},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {149--163},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A15 33D15)},
  MRNUMBER = {2290808 (2007j:05003)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1016/j.aam.2006.01.006},
       URL = {http://dx.doi.org/10.1016/j.aam.2006.01.006},
}

@article {corteel-williams3,
    AUTHOR = {Corteel, Sylvie and Williams, Lauren K.},
     TITLE = {Tableaux combinatorics for the asymmetric exclusion process
              and {A}skey-{W}ilson polynomials},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {159},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {385--415},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {05E10 (33C45 60K35 82C22)},
  MRNUMBER = {2831874 (2012h:05359)},
MRREVIEWER = {Timo Sepp{\"a}l{\"a}inen},
       DOI = {10.1215/00127094-1433385},
       URL = {http://dx.doi.org/10.1215/00127094-1433385},
}

@article {MR2630104,
    AUTHOR = {Corteel, Sylvie and Williams, Lauren K.},
     TITLE = {Staircase tableaux, the asymmetric exclusion process, and
              {A}skey-{W}ilson polynomials},
   JOURNAL = {Proc. Natl. Acad. Sci. USA},
  FJOURNAL = {Proceedings of the National Academy of Sciences of the United
              States of America},
    VOLUME = {107},
      YEAR = {2010},
    NUMBER = {15},
     PAGES = {6726--6730},
      ISSN = {1091-6490},
     CODEN = {PNASFB},
   MRCLASS = {05E10 (33C45 33D45 60K35)},
  MRNUMBER = {2630104 (2011k:05268)},
MRREVIEWER = {Tomohiro Sasamoto},
       DOI = {10.1073/pnas.0909915107},
       URL = {http://dx.doi.org/10.1073/pnas.0909915107},
}

@article {corteel-al-ansatz,
    AUTHOR = {Corteel, Sylvie and Josuat-Verg{\`e}s, Matthieu and Williams,  Lauren K.},
     TITLE = {The matrix ansatz, orthogonal polynomials, and permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {46},
      YEAR = {2011},
    NUMBER = {1-4},
     PAGES = {209--225},
      ISSN = {0196-8858},
   MRCLASS = {05A15 (05A19 33C45)},
  MRNUMBER = {2794022 (2012i:05013)},
       DOI = {10.1016/j.aam.2010.04.009},
       URL = {http://dx.doi.org/10.1016/j.aam.2010.04.009},
}

@incollection {corteel-ansatz-fpsac,
    AUTHOR = {Corteel, S. and Josuat-Verg{\`e}s, M. and Prellberg, T. and
              Rubey, M.},
     TITLE = {Matrix ansatz, lattice paths and rook placements},
 BOOKTITLE = {21st {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2009)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AK},
     PAGES = {313--324},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2009},
   MRCLASS = {05A15 (33D45)},
  MRNUMBER = {2721522 (2012c:05025)},
}

@article {elizalde-noy,
    AUTHOR = {Elizalde, Sergi and Noy, Marc},
     TITLE = {Consecutive patterns in permutations},
      NOTE = {Formal power series and algebraic combinatorics (Scottsdale,
              AZ, 2001)},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {30},
      YEAR = {2003},
    NUMBER = {1-2},
     PAGES = {110--125},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A16)},
  MRNUMBER = {1979785 (2004d:05004)},
MRREVIEWER = {Eric S. Egge},
       DOI = {10.1016/S0196-8858(02)00527-4},
       URL = {http://dx.doi.org/10.1016/S0196-8858(02)00527-4},
}

@incollection {MR2721443,
    AUTHOR = {Amig{\'o}, Jos{\'e} Mar{\'{\i}}a and Elizalde, Sergi and
              Kennel, Matthew B.},
     TITLE = {Pattern avoidance in dynamical systems},
 BOOKTITLE = {20th {A}nnual {I}nternational {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({FPSAC} 2008)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AJ},
     PAGES = {71--82},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2008},
   MRCLASS = {37B10 (05A05)},
  MRNUMBER = {2721443 (2011h:37017)},
}

@incollection {MR2521970,
    AUTHOR = {Amig{\'o}, J. M. and Elizalde, S. and Kennel, M. B.},
     TITLE = {Pattern avoidance in dynamical systems},
 BOOKTITLE = {Sixth {C}onference on {D}iscrete {M}athematics and {C}omputer
              {S}cience ({S}panish)},
     PAGES = {53--60},
 PUBLISHER = {Univ. Lleida, Lleida},
      YEAR = {2008},
   MRCLASS = {37B10 (05A05)},
  MRNUMBER = {2521970 (2010k:37017)},
}

@article {elizalde-et-al,
    AUTHOR = {Amig{\'o}, Jos{\'e} Mar{\'{\i}}a and Elizalde, Sergi and
              Kennel, Matthew B.},
     TITLE = {Forbidden patterns and shift systems},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {115},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {485--504},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05A05 (05A16 37B10)},
  MRNUMBER = {2402606 (2009b:05002)},
MRREVIEWER = {Astrid Reifegerste},
       DOI = {10.1016/j.jcta.2007.07.004},
       URL = {http://dx.doi.org/10.1016/j.jcta.2007.07.004},
}

@incollection {MR2732826,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {A survey on partially ordered patterns},
 BOOKTITLE = {Permutation patterns},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {376},
     PAGES = {115--135},
 PUBLISHER = {Cambridge Univ. Press},
   ADDRESS = {Cambridge},
      YEAR = {2010},
   MRCLASS = {05-02 (05A05 05A15)},
  MRNUMBER = {2732826 (2012b:05003)},
       DOI = {10.1017/CBO9780511902499.006},
       URL = {http://dx.doi.org/10.1017/CBO9780511902499.006},
}

@article {MR2566170,
    AUTHOR = {Burstein, A. and Kitaev, S. and Mansour, T.},
     TITLE = {Partially ordered patterns and their combinatorial
              interpretations},
   JOURNAL = {Pure Math. Appl. (PU.M.A.)},
  FJOURNAL = {Pure Mathematics and Applications. PU.M.A.},
    VOLUME = {19},
      YEAR = {2008},
    NUMBER = {2-3},
     PAGES = {27--38},
      ISSN = {1218-4586},
   MRCLASS = {05A05 (68R15)},
  MRNUMBER = {2566170 (2011b:05003)},
MRREVIEWER = {Astrid Reifegerste},
}

@article {MR2319869,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {Introduction to partially ordered patterns},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {155},
      YEAR = {2007},
    NUMBER = {8},
     PAGES = {929--944},
      ISSN = {0166-218X},
     CODEN = {DAMADU},
   MRCLASS = {05A15 (05A05 05A30)},
  MRNUMBER = {2319869 (2008b:05010)},
       DOI = {10.1016/j.dam.2006.09.011},
       URL = {http://dx.doi.org/10.1016/j.dam.2006.09.011},
}

@article {MR2380352,
    AUTHOR = {Heubach, Silvia and Kitaev, Sergey and Mansour, Toufik},
     TITLE = {Avoidance of partially ordered patterns in compositions},
   JOURNAL = {Pure Math. Appl. (PU.M.A.)},
  FJOURNAL = {Pure Mathematics and Applications. PU.M.A.},
    VOLUME = {17},
      YEAR = {2006},
    NUMBER = {1-2},
     PAGES = {123--134},
      ISSN = {1218-4586},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2380352 (2008m:05005)},
MRREVIEWER = {Astrid Reifegerste},
}

@article {MR2183166,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {Segmental partially ordered generalized patterns},
   JOURNAL = {Theoret. Comput. Sci.},
  FJOURNAL = {Theoretical Computer Science},
    VOLUME = {349},
      YEAR = {2005},
    NUMBER = {3},
     PAGES = {420--428},
      ISSN = {0304-3975},
     CODEN = {TCSDI},
   MRCLASS = {05A05 (05A15 06A07 60C05 68R15)},
  MRNUMBER = {2183166 (2006g:05005)},
MRREVIEWER = {Astrid Reifegerste},
       DOI = {10.1016/j.tcs.2005.09.036},
       URL = {http://dx.doi.org/10.1016/j.tcs.2005.09.036},
}
@article {kit-pogp,
    AUTHOR = {Kitaev, Sergey},
     TITLE = {Partially ordered generalized patterns},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {298},
      YEAR = {2005},
    NUMBER = {1-3},
     PAGES = {212--229},
      ISSN = {0012-365X},
     CODEN = {DSMHA4},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2163450 (2006f:05007)},
MRREVIEWER = {Marc Noy},
       DOI = {10.1016/j.disc.2004.03.017},
       URL = {http://dx.doi.org/10.1016/j.disc.2004.03.017},
}

@article {kit-mans-pogp-kary-words,
    AUTHOR = {Kitaev, Sergey and Mansour, Toufik},
     TITLE = {Partially ordered generalized patterns and {$k$}-ary words},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {7},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {191--200},
      ISSN = {0218-0006},
   MRCLASS = {05A15 (05A05)},
  MRNUMBER = {1994575 (2004e:05015)},
MRREVIEWER = {Alexander I. Burstein},
       DOI = {10.1007/s00026-003-0181-3},
       URL = {http://dx.doi.org/10.1007/s00026-003-0181-3},
}

@unpublished{jason-smith-personal,
Author = {Smith, Jason P.},
Note = {Personal communication},
}

@unpublished{cibulka-personal,
Author = {Cibulka, Josef},
Note = {Personal communication},
}

@unpublished{bona-personal,
Author = {B\'ona, Mikl\'os},
Note = {Personal communication},
}

@unpublished{jelinek-personal,
Author = {Jel\'inek, V\'it},
Note = {Personal communication},
}

@incollection {es-open-problems,
    AUTHOR = {Steingr{\'{\i}}msson, Einar},
     TITLE = {Some open problems on permutation patterns},
 BOOKTITLE = {Surveys in combinatorics 2013},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {409},
     PAGES = {239--263},
 PUBLISHER = {Cambridge Univ. Press, Cambridge},
      YEAR = {2013},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {3156932},
}

@book {ouchterlony-thesis,
    AUTHOR = {Ouchterlony, Erik},
     TITLE = {On Young tableaux involutions and patterns in permutations},
      NOTE = {PhD Thesis, Link\"opings universitet},
      YEAR = {2005},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
}              

@article {baxter-fixed,
    AUTHOR = {Baxter, Glen},
     TITLE = {On fixed points of the composite of commuting functions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {15},
      YEAR = {1964},
     PAGES = {851--855},
      ISSN = {0002-9939},
   MRCLASS = {54.85},
  MRNUMBER = {0184217 (32 \#1690)},
MRREVIEWER = {E. Dyer},
}% Saved with string encoding Unicode (UTF-8) 

@article {brignall-grid-partial,
    AUTHOR = {Brignall, Robert},
     TITLE = {Grid classes and partial well order},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {99--116},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {06A07 (05A05)},
  MRNUMBER = {2844085 (2012k:06004)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1016/j.jcta.2011.08.005},
       URL = {http://dx.doi.org/10.1016/j.jcta.2011.08.005},
}

@article {cks,
    AUTHOR = {Claesson, Anders and Kitaev, Sergey and Steingr{\'{\i}}msson, Einar},
     TITLE = {Decompositions and statistics for {$\beta(1,0)$}-trees and
              nonseparable permutations},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {42},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {313--328},
      ISSN = {0196-8858},
   MRCLASS = {05A05 (05A19 05C05)},
  MRNUMBER = {2502604 (2010g:05012)},
MRREVIEWER = {Sergi Elizalde},
       DOI = {10.1016/j.aam.2008.09.001},
       URL = {http://dx.doi.org/10.1016/j.aam.2008.09.001},
}

@article {cla-jel-est,
    AUTHOR = {Claesson, Anders and Jel{\'{\i}}nek, V{\'{\i}}t and
              Steingr{\'{\i}}msson, Einar},
     TITLE = {Upper bounds for the {S}tanley--{W}ilf limit of 1324 and other layered patterns},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {8},
     PAGES = {1680--1691},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05A05},
  MRNUMBER = {2946382},
       DOI = {10.1016/j.jcta.2012.05.006},
       URL = {http://dx.doi.org/10.1016/j.jcta.2012.05.006},
}

@article {dukes-parviainen,
    AUTHOR = {Dukes, Mark and Parviainen, Robert},
     TITLE = {Ascent sequences and upper triangular matrices containing
              non-negative integers},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {17},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {Research Paper 53, 16},
      ISSN = {1077-8926},
   MRCLASS = {05A05 (05A19)},
  MRNUMBER = {2607339 (2011h:05006)},
MRREVIEWER = {Paul Klingsberg},
       URL = {http://www.combinatorics.org/Volume_17/Abstracts/v17i1r53.html},
}

@article {MR1930350,
    AUTHOR = {Alm, Sven Erick and Parviainen, Robert},
     TITLE = {Lower and upper bounds for the time constant of first-passage
              percolation},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {11},
      YEAR = {2002},
    NUMBER = {5},
     PAGES = {433--445},
      ISSN = {0963-5483},
   MRCLASS = {82B43},
  MRNUMBER = {1930350 (2003k:82039)},
MRREVIEWER = {Rahul Roy},
       DOI = {10.1017/S0963548302005266},
       URL = {http://dx.doi.org/10.1017/S0963548302005266},
}

@article {duncan-es,
    AUTHOR = {Duncan, Paul and Steingr{\'{\i}}msson, Einar},
     TITLE = {Pattern avoidance in ascent sequences},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {18},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {Paper 226, 17},
      ISSN = {1077-8926},
   MRCLASS = {05A05 (05A15 05A18 05A19)},
  MRNUMBER = {2861405},
}

@incollection{es-survey,
    AUTHOR = {Steingr{\'{\i}}msson, Einar},
     TITLE = {Generalized permutation patterns---a short survey},
 BOOKTITLE = {Permutation patterns},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {376},
     PAGES = {137--152},
 PUBLISHER = {Cambridge Univ. Press},
   ADDRESS = {Cambridge},
      YEAR = {2010},
   MRCLASS = {05-02 (05A05)},
  MRNUMBER = {2732827 (2011m:05009)},
       DOI = {10.1017/CBO9780511902499.007},
       URL = {http://dx.doi.org/10.1017/CBO9780511902499.007},
}

@incollection {henning-unification-fpsac,
    AUTHOR = {{\'U}lfarsson, Henning A.},
     TITLE = {A unification of permutation patterns related to {S}chubert
              varieties},
 BOOKTITLE = {22nd {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2010)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AN},
     PAGES = {1057--1068},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2010},
   MRCLASS = {05A05 (14M15)},
  MRNUMBER = {2673911 (2012m:05016)},
}

@book {knuth4,
    AUTHOR = {Knuth, Donald E.},
     TITLE = {The art of computer programming. {V}ol. 4, {F}asc. 4},
      NOTE = {Generating all trees---history of combinatorial generation},
 PUBLISHER = {Addison-Wesley},
   ADDRESS = {Upper Saddle River, NJ},
      YEAR = {2006},
     PAGES = {vi+120},
      ISBN = {0-321-33570-8},
   MRCLASS = {68-02 (05-02 05C05 68R05)},
  MRNUMBER = {2251473 (2007f:68004d)},
}

@book {knuth1,
    AUTHOR = {Knuth, Donald E.},
     TITLE = {The art of computer programming},
   EDITION = {Second},
      NOTE = {Volume 1: Fundamental algorithms,
              Addison-Wesley Series in Computer Science and Information
              Processing},
 PUBLISHER = {Addison-Wesley Publishing Co., Reading,
              Mass.-London-Amsterdam},
      YEAR = {1975},
     PAGES = {xxii+634 pp. (1 table on lining papers)},
   MRCLASS = {68A05},
  MRNUMBER = {0378456 (51 \#14624)},
}

@article {laks-sand,
    AUTHOR = {Lakshmibai, V. and Sandhya, B.},
     TITLE = {Criterion for smoothness of {S}chubert varieties in {${\rm
              Sl}(n)/B$}},
   JOURNAL = {Proc. Indian Acad. Sci. Math. Sci.},
  FJOURNAL = {Indian Academy of Sciences. Proceedings. Mathematical
              Sciences},
    VOLUME = {100},
      YEAR = {1990},
    NUMBER = {1},
     PAGES = {45--52},
      ISSN = {0253-4142},
   MRCLASS = {14M15 (14L35)},
  MRNUMBER = {1051089 (91c:14061)},
MRREVIEWER = {H. H. Andersen},
       DOI = {10.1007/BF02881113},
       URL = {http://dx.doi.org/10.1007/BF02881113},
}

@article {simion-schmidt,
    AUTHOR = {Simion, Rodica and Schmidt, Frank W.},
     TITLE = {Restricted permutations},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {6},
      YEAR = {1985},
    NUMBER = {4},
     PAGES = {383--406},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {829358 (88a:05006)},
}

@article {yong-woo-goren,
    AUTHOR = {Woo, Alexander and Yong, Alexander},
     TITLE = {When is a {S}chubert variety {G}orenstein?},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {207},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {205--220},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {14M15},
  MRNUMBER = {2264071 (2008a:14062)},
MRREVIEWER = {Venkatramani Lakshmibai},
       DOI = {10.1016/j.aim.2005.11.010},
       URL = {http://dx.doi.org/10.1016/j.aim.2005.11.010},
}

@article {yong-woo-gov-sing,
    AUTHOR = {Woo, Alexander and Yong, Alexander},
     TITLE = {Governing singularities of {S}chubert varieties},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {320},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {495--520},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {14M15 (05E15 06A07 14B05)},
  MRNUMBER = {2422304 (2009j:14063)},
MRREVIEWER = {Gary P. Kennedy},
       DOI = {10.1016/j.jalgebra.2007.12.016},
       URL = {http://dx.doi.org/10.1016/j.jalgebra.2007.12.016},
}


@article {stankova-west,
    AUTHOR = {Stankova, Zvezdelina and West, Julian},
     TITLE = {A new class of {W}ilf-equivalent permutations},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {15},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {271--290},
      ISSN = {0925-9899},
     CODEN = {JAOME7},
   MRCLASS = {05A05},
  MRNUMBER = {1900628 (2003b:05006)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1023/A:1015016625432},
       URL = {http://dx.doi.org/10.1023/A:1015016625432},
}

@book {burstein-thesis,
    AUTHOR = {Burstein, Alexander},
     TITLE = {Enumeration of words with forbidden patterns},
      NOTE = {Thesis (Ph.D.)--University of Pennsylvania},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1998},
     PAGES = {163},
      ISBN = {978-0591-82719-4},
   MRCLASS = {Thesis},
  MRNUMBER = {2697353},
       URL =             {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9829868},
}

@unpublished{yan-ascent-3-nonnesting,
Author = {Yan, Sherry H. F.},
Note = {arXiv:1208.1915 [math.CO]},
Title = {Ascent sequences and 3-nonnesting set partitions}}


@book {west-thesis,
    AUTHOR = {West, Julian},
     TITLE = {Permutations with forbidden subsequences and stack-sortable
              permutations},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1990},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2716312},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0570328},
}

@article {bona-sorting,
    AUTHOR = {B{\'o}na, Mikl{\'o}s},
     TITLE = {A survey of stack-sorting disciplines},
      NOTE = {Permutation patterns (Otago, 2003)},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {9},
      YEAR = {2002/03},
    NUMBER = {2},
     PAGES = {Article 1, 16},
      ISSN = {1077-8926},
   MRCLASS = {05A15 (05A16 68P05 68P10 68R05)},
  MRNUMBER = {2028290 (2004j:05012)},
MRREVIEWER = {Volker Strehl},
       URL = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2a1.html},
}

@article {bona-records,
    AUTHOR = {B{\'o}na, Mikl{\'o}s},
     TITLE = {New records in {S}tanley-{W}ilf limits},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {28},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {75--85},
      ISSN = {0195-6698},
   MRCLASS = {05A05},
  MRNUMBER = {2261804 (2007f:05002)},
MRREVIEWER = {Aaron J. Robertson},
       DOI = {10.1016/j.ejc.2005.09.005},
       URL = {http://dx.doi.org/10.1016/j.ejc.2005.09.005},
}

@unpublished{bona-best-upper,
Author = {B\'ona, Mikl\'os},
Note = {arXiv:1209.2404v1 [math.CO]},
Title = {On the Best Upper Bound for Permutations Avoiding A Pattern
                  of a Given Length}}

@article {klazar-set-systems-weight,
    AUTHOR = {Klazar, Martin},
     TITLE = {Counting set systems by weight},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {12},
      YEAR = {2005},
     PAGES = {Research Paper 11, 8 pp. (electronic)},
      ISSN = {1077-8926},
   MRCLASS = {05A16 (05C65)},
  MRNUMBER = {2134174 (2006j:05014)},
MRREVIEWER = {Jaroslav Ivan{\v{c}}o},
       URL = {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r11.html},
}
	
@unpublished{mansour-shattuck-ascent-seqs,
	Author = {Mansour, Toufik and Shattuck, Mark},
	Note = {arXiv:1207.3755v1 [math.CO]},
	Title = {Some enumerative results related to ascent sequences}}

@incollection{brignall:a-survey-of-sim:,
    AUTHOR = {Brignall, Robert},
     TITLE = {A Survey of Simple Permutations},
 BOOKTITLE = {Permutation Patterns},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {376},
     PAGES = {41-65},
 PUBLISHER = {Cambridge Univ. Press},
   ADDRESS = {Cambridge},
      YEAR = {2010},
    EDITOR = {Linton, Steve and Ru\v{s}kuc, Nik and Vatter, Vincent}
}

@unpublished{elder:problems-and-co:,
	Annote = {We collect the questions and conjectures raised at the \emph{Permutation Patterns} conference in 2005.},
	Author = {Elder, Murray and Vatter, Vincent},
	Date-Added = {2012-07-15 20:34:38 +0100},
	Date-Modified = {2012-07-15 20:34:38 +0100},
	Keywords = {permutationenumeration, growthrates, wilfequivalence, sorting},
	Note = {arXiv:math.CO/0505504},
	Title = {Problems and Conjectures presented at the {T}hird {I}nternational {C}onference on {P}ermutation {P}atterns, {U}niversity of {F}lorida, {M}arch 7--11, 2005},
	Url = {http://arxiv.org/abs/math.CO/0505504},
	Bdsk-Url-1 = {http://arxiv.org/abs/math.CO/0505504}}

@unpublished{vatter:lecture-notes,
	Annote = {Vatter's lecture notes},
	Author = {Vatter, Vincent},
	Title = {Unpublished Lecture notes, www.math.ufl.edu/~vatter/teaching/4204s11/pp5.pdf},
	Url = {http://www.math.ufl.edu/~vatter/teaching/4204s11/pp5.pdf},
	Bdsk-Url-1 = {http://www.math.ufl.edu/~vatter/teaching/4204s11/pp5.pdf}}

@incollection{genpatt-survey,
	Address = {Cambridge},
	Author = {Steingr{\'{\i}}msson, Einar},
	Booktitle = {Permutation patterns},
	Doi = {10.1017/CBO9780511902499.007},
	Mrclass = {05-02 (05A05)},
	Mrnumber = {2732827 (2011m:05009)},
	Pages = {137--152},
	Publisher = {Cambridge Univ. Press},
	Series = {London Math. Soc. Lecture Note Ser.},
	Title = {Generalized permutation patterns---a short survey},
	Url = {http://dx.doi.org/10.1017/CBO9780511902499.007},
	Volume = {376},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1017/CBO9780511902499.007}}

@article{vatter:permutation-cla,
	Annote = {We prove that there are permutation classes (hereditary properties of permutations) of every growth rate (Stanley-Wilf limit) at least $\lambda\approx 2.48187$, the unique real root of $x^5-2x^4-2x^2-2x-1$, thereby establishing a conjecture of Albert and Linton.},
	Author = {Vatter, Vincent},
	Date-Added = {2012-07-12 23:09:11 +0100},
	Date-Modified = {2012-07-12 23:09:11 +0100},
	Journal = {Mathematika},
	Pages = {182--192},
	Title = {Permutation classes of every growth rate above $2.48188$},
	Volume = {56},
	Year = {2010},
	Bdsk-Url-1 = {http://arxiv.org/abs/0807.2815}}

@article{vatter:small-permutati,
	Annote = {We establish a phase transition for permutation classes (downsets of permutations under the permutation containment order): there is an algebraic number $\kappa$, approximately $2.20557$, for which there are only countably many permutation classes of growth rate (Stanley-Wilf limit) less than $\kappa$ but uncountably many permutation classes of growth rate $\kappa$, answering a question of Klazar. We go on to completely characterize the possible sub-$\kappa$ growth rates of permutation classes, answering a question of Kaiser and Klazar. Central to our proofs are the concepts of generalized grid classes (introduced herein), partial well-order, and atomicity (also known as the joint embedding property).},
	Author = {Vatter, Vincent},
	Date-Added = {2012-07-12 23:09:00 +0100},
	Date-Modified = {2012-07-12 23:09:00 +0100},
	Journal = {Proc. Lond. Math. Soc. (3)},
	Pages = {879--921},
	Title = {Small permutation classes},
	Volume = {103},
	Year = {2011}}

@inproceedings{klazar:overview-of-som,
	Author = {Klazar, Martin},
	Booktitle = {Permutation Patterns},
	Date-Added = {2012-07-12 23:08:03 +0100},
	Date-Modified = {2012-07-12 23:08:03 +0100},
	Editor = {Linton, Steve and Ru{\v{s}}kuc, Nik and Vatter, Vincent},
	Pages = {3--40},
	Publisher = {Cambridge University Press},
	Series = {London Mathematical Society Lecture Note Series},
	Title = {Overview of some general results in combinatorial enumeration},
	Volume = {376},
	Year = {2010}}

@article{kaiser:on-growth-rates:,
	Author = {Kaiser, Tom{\'a}{\v{s}} and Klazar, Martin},
	Date-Added = {2012-07-12 23:07:52 +0100},
	Date-Modified = {2012-07-12 23:07:52 +0100},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Keywords = {classstructure},
	Mrclass = {05A16 (05A05)},
	Number = {2},
	Pages = {Research paper 10, 20 pp.},
	Title = {On growth rates of closed permutation classes},
	Url = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2r10.html},
	Volume = {9},
	Year = {2003},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_9/Abstracts/v9i2r10.html}}

@article{huczynska:grid-classes-an:,
	Annote = {We introduce and characterise grid classes, which are natural generalisations of other well-studied permutation classes. This characterisation allows us to give a new, short proof of the Fibonacci dichotomy: the number of permutations of length $n$ in a permutation class is either at least as large as the $n$th Fibonacci number or is eventually polynomial.},
	Author = {Huczynska, Sophie and Vatter, Vincent},
	Date-Added = {2012-07-12 23:07:43 +0100},
	Date-Modified = {2012-07-12 23:07:43 +0100},
	Journal = {Electron. J. Combin.},
	Keywords = {permutations, permutationenumeration, classstructure},
	Pages = {Research paper 54, 14 pp.},
	Title = {Grid classes and the {F}ibonacci dichotomy for restricted permutations},
	Url = {http://www.combinatorics.org/Volume_13/Abstracts/v13i1r54.html},
	Volume = {13},
	Year = {2006},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_13/Abstracts/v13i1r54.html}}

@article{brignall:grid-classes-an:,
	Author = {Brignall, Robert},
	Date-Added = {2012-07-12 23:07:29 +0100},
	Date-Modified = {2012-07-12 23:07:29 +0100},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {99--116},
	Title = {Grid classes and partial well order},
	Volume = {119},
	Year = {2012}}

@incollection{bollobas:hereditary-and-,
	Author = {Bollob{\'a}s, B{\'e}la},
	Booktitle = {Surveys in Combinatorics 2007},
	Date-Added = {2012-07-12 23:07:20 +0100},
	Date-Modified = {2012-07-12 23:07:20 +0100},
	Editor = {Hilton, Anthony and Talbot, John},
	Keywords = {graphs, growthrates, relationalstructures},
	Number = {346},
	Pages = {1--39},
	Publisher = {Cambridge University Press},
	Series = {London Mathematical Society Lecture Note Series},
	Title = {Hereditary and monotone properties of combinatorial structures},
	Year = {2007}}

@incollection{balogh:hereditary-prop:ordgraphs,
	Address = {Berlin},
	Author = {Balogh, J{\'o}zsef and Bollob{\'a}s, B{\'e}la and Morris, Robert},
	Booktitle = {Topics in discrete mathematics},
	Date-Added = {2012-07-12 23:07:00 +0100},
	Date-Modified = {2012-07-12 23:07:00 +0100},
	Editor = {Klazar, M. and Kratochv{\'\i}l, J. and Loebl, M. and Matou{\v{s}}ek, J. and Thomas, R. and Valtr, P.},
	Keywords = {growthrates},
	Mrclass = {05C99},
	Pages = {179--213},
	Publisher = {Springer},
	Series = {Algorithms Combin.},
	Title = {Hereditary properties of ordered graphs},
	Volume = {26},
	Year = {2006}}

@unpublished{albert:inflations-of-g:,
	Author = {Albert, Michael H. and Ru{\v{s}}kuc, Nikola and Vatter, Vincent},
	Date-Added = {2012-07-12 23:05:53 +0100},
	Date-Modified = {2012-07-12 23:05:53 +0100},
	Note = {arXiv:1202.1833v1 [math.CO]},
	Title = {Inflations of geometric grid classes of permutations}}

@article{albert:growing-at-a-pe:,
	Author = {Albert, Michael H. and Linton, Steve},
	Date-Added = {2012-07-12 23:05:44 +0100},
	Date-Modified = {2012-07-12 23:05:44 +0100},
	Journal = {Combin. Probab. Comput.},
	Keywords = {permutations, growthrates},
	Pages = {301--308},
	Title = {Growing at a perfect speed},
	Url = {http://dx.doi.org/10.1017/S0963548309009699},
	Volume = {18},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1017/S0963548309009699}}

@article{ste-tenner,
	Author = {Steingr{\'{\i}}msson, Einar and Tenner, Bridget Eileen},
	Date-Added = {2012-07-12 22:51:35 +0100},
	Date-Modified = {2012-07-12 23:05:03 +0100},
	Fjournal = {Journal of Combinatorics},
	Issn = {2156-3527},
	Journal = {J. Comb.},
	Mrclass = {06A07 (05A05 05E99)},
	Mrnumber = {2675921 (2011h:06008)},
	Mrreviewer = {Patricia L. Hersh},
	Number = {1, [ISSN 1097-959X on cover]},
	Pages = {39--52},
	Title = {The {M}\"obius function of the permutation pattern poset},
	Volume = {1},
	Year = {2010}}

@book{ECI,
	Address = {Cambridge},
	Author = {Stanley, Richard P.},
	Date-Added = {2012-07-12 22:50:18 +0100},
	Date-Modified = {2012-07-12 23:04:51 +0100},
	Isbn = {0-521-55309-1; 0-521-66351-2},
	Mrclass = {05-02 (05A15 06-02 11-02)},
	Pages = {xii+325},
	Publisher = {Cambridge University Press},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {Enumerative combinatorics. {V}ol. 1},
	Volume = {49},
	Year = {1997}}

@book{cca,
	Address = {Boston, MA},
	Author = {Stanley, Richard P.},
	Date-Added = {2012-07-12 22:49:58 +0100},
	Date-Modified = {2012-07-12 23:04:47 +0100},
	Edition = {Second},
	Isbn = {0-8176-3836-9},
	Mrclass = {05-02 (13F50)},
	Mrnumber = {1453579 (98h:05001)},
	Mrreviewer = {Volkmar Welker},
	Pages = {x+164},
	Publisher = {Birkh\"auser Boston Inc.},
	Series = {Progress in Mathematics},
	Title = {Combinatorics and commutative algebra},
	Volume = {41},
	Year = {1996}}

@article{sagan-willenbring,
	Author = {Sagan, Bruce E. and Willenbring, R.},
	Date-Added = {2012-07-12 22:48:24 +0100},
	Date-Modified = {2012-07-12 23:11:06 +0100},
	Journal = {J. Algebraic Combin.},
	Title = {Discrete {M}orse theory and the consecutive pattern poset},
	Year = {to appear}}

@article{sagan-vatter,
	Annote = {We determine the M\"obius function of the poset of compositions of an integer. In fact we give two proofs of this formula, one using an involution and one involving discrete Morse theory. The composition poset turns out to be intimately connected with subword order, whose M\"obius function was determined by Anders Bj\"orner. We show that using a generalization of subword order, we can obtain both Bj\"orner's results and our own as special cases.},
	Author = {Sagan, Bruce E. and Vatter, Vincent},
	Date-Added = {2012-07-12 22:48:07 +0100},
	Date-Modified = {2012-07-12 23:04:36 +0100},
	Journal = {J. Algebraic Combin.},
	Keywords = {compositions, mobius},
	Number = {2},
	Pages = {117--136},
	Title = {The {M}\"obius function of a composition poset},
	Url = {http://dx.doi.org/10.1007/s10801-006-0017-4},
	Volume = {24},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-006-0017-4}}

@article{regev,
	Author = {Regev, Amitai},
	Coden = {ADMTA4},
	Date-Added = {2012-07-12 22:47:51 +0100},
	Date-Modified = {2012-07-12 23:04:30 +0100},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. in Math.},
	Mrclass = {20C30 (05A17 16A64 68E99)},
	Mrnumber = {MR625890 (82h:20015)},
	Number = {2},
	Pages = {115--136},
	Title = {Asymptotic values for degrees associated with strips of {Y}oung diagrams},
	Volume = {41},
	Year = {1981}}

@article{marcus-tardos,
	Author = {Marcus, Adam and Tardos, G{\'a}bor},
	Coden = {JCBTA7},
	Date-Added = {2012-07-12 22:47:40 +0100},
	Date-Modified = {2012-07-12 23:04:26 +0100},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A05 (05D05)},
	Number = {1},
	Pages = {153--160},
	Title = {Excluded permutation matrices and the {S}tanley-{W}ilf conjecture},
	Url = {http://dx.doi.org/10.1016/j.jcta.2004.04.002},
	Volume = {107},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2004.04.002}}

@article{mcnamara-sagan,
	Author = {McNamara, Peter and Sagan, Bruce E.},
	Date-Added = {2012-07-12 22:47:25 +0100},
	Date-Modified = {2012-07-12 23:04:21 +0100},
	Journal = {Adv. Math.},
	Pages = {2741--2766},
	Title = {The {M}\"obius function of generalized subword order},
	Volume = {229},
	Year = {2012}}

@incollection{madras-liu,
	Address = {Providence, RI},
	Author = {Madras, Neal and Liu, Hailong},
	Booktitle = {Algorithmic probability and combinatorics},
	Date-Added = {2012-07-12 22:46:00 +0100},
	Date-Modified = {2012-07-12 23:04:14 +0100},
	Doi = {10.1090/conm/520/10259},
	Mrclass = {05A05 (65C05)},
	Mrnumber = {2681860 (2012a:05017)},
	Mrreviewer = {Antonio Bernini},
	Pages = {173--194},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math.},
	Title = {Random pattern-avoiding permutations},
	Url = {http://dx.doi.org/10.1090/conm/520/10259},
	Volume = {520},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/conm/520/10259}}

@book{kitaev-book,
	Author = {Kitaev, Sergey},
	Date-Added = {2012-07-12 22:44:22 +0100},
	Date-Modified = {2012-07-12 23:04:04 +0100},
	Publisher = {Springer-Verlag},
	Series = {Monographs in Theoretical Computer Science},
	Title = {Patterns in Permutations and Words},
	Year = {2011}}

@book{kitaev-lozin-words-graphs,
    AUTHOR = {Kitaev, Sergey and Lozin, Vadim},
     TITLE = {Words and graphs},
    SERIES = {Monographs in Theoretical Computer Science. An EATCS Series},
      NOTE = {With a foreword by Martin Charles Golumbic},
 PUBLISHER = {Springer, Cham},
      YEAR = {2015},
     PAGES = {xviii+264},
      ISBN = {978-3-319-25857-7; 978-3-319-25859-1},
   MRCLASS = {05-01 (05Axx 05Cxx 68R10 68R15)},
  MRNUMBER = {3408128},
MRREVIEWER = {Sang-il Oum},
       DOI = {10.1007/978-3-319-25859-1},
       URL = {https://doi.org/10.1007/978-3-319-25859-1},
}

@article{kasraoui,
	Author = {Kasraoui, Anisse},
	Journal = {European J. Combin.},
	Title = {New {W}ilf-equivalence results for vincular patterns},
    VOLUME = {34},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {322--337}}

@article{gessel-symmetric,
	Author = {Gessel, Ira M.},
	Coden = {JCBTA7},
	Date-Added = {2012-07-12 22:42:18 +0100},
	Date-Modified = {2012-07-12 23:03:53 +0100},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05E05 (05A15)},
	Mrnumber = {MR1041448 (91c:05190)},
	Mrreviewer = {Dennis White},
	Number = {2},
	Pages = {257--285},
	Title = {Symmetric functions and {$P$}-recursiveness},
	Volume = {53},
	Year = {1990}}

@unpublished{chen-sagan,
	Author = {Chen, William Y. C. and Dai, Alvin Y. L. and Dokos, Theodore and Dwyer, Tim and Sagan, Bruce E.},
	Date-Added = {2012-07-12 22:36:20 +0100},
	Date-Modified = {2012-07-12 23:03:29 +0100},
	Note = {arXiv:1206.2849v2 [math.CO]},
	Title = {On {$021$}-Avoiding Ascent Sequences}}

@article{mob-sep,
	Author = {Burstein, Alexander and Jel{\'{\i}}nek, V{\'{\i}}t and Jel{\'{\i}}nkov{\'a}, Eva and Steingr{\'{\i}}msson, Einar},
	Coden = {JCBTA7},
	Date-Added = {2012-07-12 22:36:00 +0100},
	Date-Modified = {2012-07-12 23:03:16 +0100},
	Doi = {10.1016/j.jcta.2011.06.002},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A05 (06A07)},
	Mrnumber = {2834180},
	Number = {8},
	Pages = {2346--2364},
	Title = {The {M}\"obius function of separable and decomposable permutations},
	Url = {http://dx.doi.org/10.1016/j.jcta.2011.06.002},
	Volume = {118},
	Year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2011.06.002}}

@article{brand-cla-mesh,
	Author = {Br{\"a}nd{\'e}n, Petter and Claesson, Anders},
	Date-Added = {2012-07-12 22:35:02 +0100},
	Date-Modified = {2012-07-12 23:03:09 +0100},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A05 (05A15 05A19)},
	Mrnumber = {2795782 (2012e:05009)},
	Mrreviewer = {Henning {\'U}lfarsson},
	Number = {2},
	Pages = {Paper 5, 14},
	Title = {Mesh patterns and the expansion of permutation statistics as sums of permutation patterns},
	Volume = {18},
	Year = {2011}}

@article{bcdk,
	Author = {Bousquet-M{\'e}lou, Mireille and Claesson, Anders and Dukes, Mark and Kitaev, Sergey},
	Coden = {JCBTA7},
	Date-Added = {2012-07-12 22:34:17 +0100},
	Date-Modified = {2012-07-12 23:02:59 +0100},
	Doi = {10.1016/j.jcta.2009.12.007},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A19 (05A05 06A07)},
	Mrnumber = {2652101 (2011h:05022)},
	Mrreviewer = {Sergi Elizalde},
	Number = {7},
	Pages = {884--909},
	Title = {{$(2+2)$}-free posets, ascent sequences and pattern avoiding permutations},
	Url = {http://dx.doi.org/10.1016/j.jcta.2009.12.007},
	Volume = {117},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2009.12.007}}

@article{bona-1342,
	Abstract = {Solving the first nonmonotonic, longer-than-three instance of a classic enumeration problem, we obtain the generating functionH(x) of all 1342-avoiding permutations of lengthnas well as anexactformula for their numberSn(1342). While achieving this, we bijectively prove that the number of indecomposable 1342-avoiding permutations of lengthnequals that of labeled plane trees of a certain type onnvertices recently enumerated by Cori, Jacquard, and Schaeffer, which is in turn known to be equal to the number of rooted bicubic maps enumerated by Tutte (Can. J. Math.33(1963), 249--271). Moreover,H(x) turns out to be algebraic, proving the first nonmonotonic, longer-than-three instance of a conjecture of Noonan and Zeilberger (Adv. Appl. Math.17(1996), 381--407). We also prove thatconverges to 8, so in particular, limn(Sn(1342)/Sn(1234))=0. },
	Author = {B{\'o}na, Mikl{\'o}s},
	Date-Added = {2012-07-12 22:32:52 +0100},
	Date-Modified = {2012-07-12 22:52:51 +0100},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Keywords = {permutationenumeration},
	Mrclass = {05A15 (05C05)},
	Number = {2},
	Pages = {257--272},
	Title = {Exact enumeration of {$1342$}-avoiding permutations: a close link with labeled trees and planar maps},
	Url = {http://dx.doi.org/10.1006/jcta.1997.2800},
	Volume = {80},
	Year = {1997},
	Bdsk-Url-1 = {http://dx.doi.org/10.1006/jcta.1997.2800}}

@article {bona-new-1324,
    AUTHOR = {B\'ona, Mikl\'os},
     TITLE = {A new upper bound for 1324-avoiding permutations},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {23},
      YEAR = {2014},
    NUMBER = {5},
     PAGES = {717--724},
      ISSN = {0963-5483},
   MRCLASS = {05A15 (05A05 05A16 05A20)},
  MRNUMBER = {3249221},
MRREVIEWER = {Sergey Kitaev},
       DOI = {10.1017/S0963548314000091},
       URL = {http://dx.doi.org/10.1017/S0963548314000091},
}

@article{bern-ferr-ste,
	Author = {Bernini, Antonio and Ferrari, Luca and Steingr{\'{\i}}msson, Einar},
	Date-Added = {2012-07-12 22:31:50 +0100},
	Date-Modified = {2012-07-12 22:52:44 +0100},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {06A07 (05A05 05E15)},
	Mrnumber = {2817796 (2012g:06003)},
	Mrreviewer = {Joseph Kung},
	Number = {1},
	Pages = {Paper 146, 12},
	Title = {The {M}\"obius function of the consecutive pattern poset},
	Volume = {18},
	Year = {2011}}

@article{babstein,
	Abstract = {We introduce generalized permutation patterns, where we allow the  requirement that two adjacent letters in a pattern must be adjacent  in the permutation. We show that essentially all Mahonian  permutation statistics in the literature can be written as linear  combinations of such patterns. Almost all known Mahonian  permutation statistics can be written as linear combinations of  patterns of length at most 3. There are only fourteen possible such  Mahonian statistics, which we list. Of these, eight are known and  we give proofs for another three. The remaining three we conjecture  to be Mahonian. We also give an explicit numerical description of  the combinations of patterns a Mahonian statistic must have,  depending on the maximal length of its patterns. },
	Author = {Babson, Eric and Steingr{\'{\i}}msson, Einar},
	Date-Added = {2012-07-12 22:30:43 +0100},
	Date-Modified = {2012-07-12 22:52:31 +0100},
	Journal = {S\'em. Lothar. Combin.},
	Keywords = {generalisedpermutations},
	Pages = {Article B44b, 18 pp.},
	Title = {Generalized permutation patterns and a classification of the {M}ahonian statistics},
	Url = {http://www.emis.de/journals/SLC/wpapers/s44stein.html},
	Volume = {44},
	Year = {2000},
	Bdsk-Url-1 = {http://www.emis.de/journals/SLC/wpapers/s44stein.html}}

@article{arratia,
	Author = {Arratia, Richard},
	Date-Added = {2012-07-12 22:30:30 +0100},
	Date-Modified = {2012-07-12 22:52:23 +0100},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Keywords = {growthrates},
	Mrclass = {05A05 (05A16)},
	Mrnumber = {MR1710623 (2000e:05005)},
	Pages = {Note 1, 4 pp.},
	Title = {On the {S}tanley-{W}ilf conjecture for the number of permutations avoiding a given pattern},
	Url = {http://www.combinatorics.org/Volume_6/Abstracts/v6i1n1.html},
	Volume = {6},
	Year = {1999},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_6/Abstracts/v6i1n1.html}}

@article{albert-et-al,
	Author = {Albert, Michael H. and Elder, M. and Rechnitzer, A. and Westcott, P. and Zabrocki, M.},
	Date-Added = {2012-07-12 22:30:19 +0100},
	Date-Modified = {2012-07-12 22:52:07 +0100},
	Journal = {Adv. in Appl. Math.},
	Keywords = {permutations, growthrates},
	Number = {2},
	Pages = {95--105},
	Title = {On the {W}ilf-{S}tanley limit of $4231$-avoiding permutations and a conjecture of {A}rratia},
	Url = {http://dx.doi.org/10.1016/j.aam.2005.05.007},
	Volume = {36},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aam.2005.05.007}}

@article {albert-linton-ruskuc-insertion,
    AUTHOR = {Albert, Michael H. and Linton, Steve and Ru{\v{s}}kuc, Nik},
     TITLE = {The insertion encoding of permutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {12},
      YEAR = {2005},
     PAGES = {Research Paper 47, 31 pp. (electronic)},
      ISSN = {1077-8926},
   MRCLASS = {05A05 (05A15 68Q45)},
  MRNUMBER = {2176523 (2006g:05004)},
MRREVIEWER = {Sergi Elizalde},
       URL =             {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r47.html},
}


@inproceedings {MR1603688,
    AUTHOR = {Steingr\'{\i}msson, Einar},
     TITLE = {A chromatic partition polynomial},
 BOOKTITLE = {Proceedings of the 7th {C}onference on {F}ormal {P}ower
              {S}eries and {A}lgebraic {C}ombinatorics ({N}oisy-le-{G}rand,
              1995)},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {180},
      YEAR = {1998},
    NUMBER = {1-3},
     PAGES = {357--368},
      ISSN = {0012-365X},
   MRCLASS = {05C15 (05A17)},
  MRNUMBER = {1603688},
MRREVIEWER = {E. J. Farrell},
       DOI = {10.1016/S0012-365X(97)00125-8},
       URL = {https://doi.org/10.1016/S0012-365X(97)00125-8},
}