The Effect of Disorder on the Free-Energy for the Random Walk Pinning Model: Smoothing of the Phase Transition and Low Temperature Asymptotics-Reference-Cited by-同舟云学术

The Effect of Disorder on the Free-Energy for the Random Walk Pinning Model: Smoothing of the Phase Transition and Low Temperature Asymptotics

Published:2010-12-22 Issue:2 Volume:142 Page:322-341
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Berger Quentin,Lacoin Hubert

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s10955-010-0110-x.pdf

Reference16 articles.

1. Aizenman, M., Wehr, J.: Rounding effects of quenched randomness on first-order phase transitions. Commun. Math. Phys. 130, 489–528 (1990)

2. Alexander, K.S.: Ivy on the ceiling: first-order polymer depinning transitions with quenched disorder. Markov Process. Relat. Fields 13, 663–680 (2007)

3. Alexander, K.S.: The effect of disorder on polymer depinning transitions. Commun. Math. Phys. 279, 117–146 (2008)

4. Asmüssen, S.: Applied Probabilities and Queues, 2nd edn. Springer, Berlin (2003)

5. Berger, Q., Toninelli, F.L.: On the critical point of the Random Walk Pinning Model in dimension d=3. Electron. J. Probab. 15, 654–683 (2010)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The free energy of the random walk pinning model;Stochastic Processes and their Applications;2018-02

2. The rounding of the phase transition for disordered pinning with stretched exponential tails;The Annals of Applied Probability;2017-04-01

3. Moments and Lyapunov exponents for the parabolic Anderson model;The Annals of Applied Probability;2014-06-01

4. Sharp critical behavior for pinning models in a random correlated environment;Stochastic Processes and their Applications;2012-04

5. Critical Point Shift: The Fractional Moment Method;Lecture Notes in Mathematics;2011