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.
[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
/a>
[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
[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]
[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
[7] F.L. Toninelli,
Correlation lengths for random polymer models and for some renewal sequences,
Electron. J. Probab. 12, 613-636 (2007).
[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).
Last update: April 12, 2012