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Large deviations and phase transition for random walks in random nonnegative potentials

  • Published:2007-05 Issue:5 Volume:117 Page:596-612
  • ISSN:0304-4149
  • Container-title:Stochastic Processes and their Applications
  • language:en
  • Short-container-title:Stochastic Processes and their Applications

Author:

Flury Markus

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference8 articles.

1. Large Deviations;Deuschel,1989

2. M. Flury, Coincidence of Lyapunov exponents for random walks in weak random potentials. http://arxiv.org/abs/math.PR/0608357, 2006

3. Percolation;Grimmett,1999

4. Quenched critical large deviations for Brownian motion in a Poissonian potential;Sznitman;J. Funct. Anal.,1995

5. Annealed Lyapunov exponents and large deviations in a Poissonian potential. II;Sznitman;Ann. Sci. Ecole Norm. Sup.,1995

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1. Differences between Lyapunov exponents for the simple random walk in Bernoulli potentials;Journal of Applied Probability;2023-06-23

2. Strict comparison for the Lyapunov exponents of the simple random walk in random potentials;Latin American Journal of Probability and Mathematical Statistics;2023

3. A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2022-05-01

4. Large deviations for Brownian motion in a random potential;ESAIM: Probability and Statistics;2020

5. Biased Random Walk Conditioned on Survival Among Bernoulli Obstacles: Subcritical Phase;Communications in Mathematical Physics;2019-12-03
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