Random Polymer Models

(See the journals for the final versions)

[23] F. Caravenna, F. Toninelli, N. Torri, Universality for the pinning model in the weak coupling regime, , Ann. Probab. 45 (2017), 2154-2209, pdf of the published version

[22] P. Caputo, F. Martinelli, F. Toninelli, Multi-level pinning problems for random walks and self-avoiding lattice paths, Elec. J. Probab. 20 (2015), 1-29. arXiv:1410.2694:

[21] D. Ioffe, S. Shlosman, F. Toninelli, Interaction versus entropic repulsion for low temperature Ising polymers, J. Stat. Phys. 158 (2015), 1007-1050. arXiv:1407.3592

[20] Q. Berger, F.L. Toninelli, Hierarchical pinning model in correlated random environment, Ann. Inst. H. Poincare': Prob. Stat., Vol. 49 No. 3 (2013), 781-816. arXiv:1110.5781

[19] Q. Berger, F.L. Toninelli, On the critical point of the Random Walk Pinning Model in dimension d=3, Electron. Journal Probab. 15 (2010), 654-683.

[18] G. Giacomin, H. Lacoin, F.L. Toninelli, Disorder relevance at marginality and critical point shift, Ann. Inst. H. Poincare': Prob. Stat. 47 (2011), 148--175. arXiv:0906.1942v1

[17] G. Giacomin, H. Lacoin, F.L. Toninelli, Marginal relevance of disorder for pinning models, Commun. Pure Appl. Math. 63, 233-265 (2010) arXiv:0811.0723v1

[16] F.L. Toninelli, Coarse graining, fractional moments and the critical slope of random copolymers, Electron. Journal Probab. 14, 531-547 (2009).

[15] H. Lacoin, F.L. Toninelli, A smoothing inequality for hierarchical pinning models, Progress in Probability 62, 271-278 (2009). pdf

[14] T. Bodineau, G. Giacomin, H. Lacoin, F.L. Toninelli, Copolymers at selective interfaces: new bounds on the phase diagram, J. Statist. Phys. 132, 603-626 (2008). arXiv:0803.1766v2 [math.PR]

[13] B. Derrida, G. Giacomin, H. Lacoin, F.L. Toninelli, Fractional moment bounds and disorder relevance for pinning models, Commun. Math. Phys. 287, 867-887 (2009). arxiv.org/abs/0712.2515 [math.PR]

[12] G. Giacomin, H. Lacoin, F.L. Toninelli, Hierarchical pinning models, quadratic maps and quenched disorder, Probab. Theory Rel. Fields 147, 185-216 (2010). arxiv.org/abs/0711.4649 [math.PR]

[11] F.L. Toninelli, Disordered pinning models and copolymers: beyond annealed bounds, Ann. Appl. Probab. 18, 1569-1587 (2008). arXiv:0709.1629v2 [math.PR]

[10] G. Giacomin, F.L. Toninelli, On the irrelevant disorder regime of pinning models, Ann. Probab. 37, 1841-1875 (2009), arXiv:0707.3340 [math.PR]

[9] F.L. Toninelli, Localization transition in disordered pinning models. Effect of randomness on the critical properties,
in Methods of Contemporary Mathematical Staitistical Physics, Lecture Notes in Mathematics vol. 1970, 129-176 (2009) math.PR/0703912v2

[8] F.L. Toninelli, A replica-coupling approach to disordered pinning models , Commun. Math. Phys. 280, 389-401 (2008). math-ph/0701063

[7] F.L. Toninelli, Correlation lengths for random polymer models and for some renewal sequences, Electron. J. Probab. 12, 613-636 (2007).

[6] G. Giacomin, F.L. Toninelli, Force-induced depinning of directed polymers, J. Phys. A: Math. Theor. 40, 5261-5275 (2007). cond-mat/0610663

[5] F.L. Toninelli, Critical properties and finite-size estimates for the depinning transition of directed random polymers, J. Stat. Phys. 126, 1025-1044 (2007). cond-mat/0604453

[4] G. Giacomin, F.L. Toninelli, Smoothing of Depinning Transitions for Directed Polymers with Quenched Disorder,
Phys. Rev. Lett 96, 070602 (2006). cond-mat/0510472

[3] G. Giacomin, F.L. Toninelli, The localized phase of disordered copolymers with adsorption,
ALEA 1,149-180 (2006).

[2] G. Giacomin, F.L. Toninelli, Smoothing effect of quenched disorder on polymer depinning transitions,
Commun. Math. Phys. 266, 1-16 (2006). math.PR/0506431

[1] G. Giacomin, F.L. Toninelli, Estimates on path delocalization for copolymers at selective interfaces,
Probab.Theory Rel. Fields 133, Number 4, 464-482 (2005). math.PR/0502304

Last update: April 12, 2012