Large deviations for a zero mean asymmetric zero range process in random media

2000/09/11 by A. Koukkous, Koukkous, A., Hervé Guiol +2
Computer Science · Mathematics · Physics and Astronomy · #60K35 #82C22 #Bayesian Methods and Mixture Models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Scientific Research and Discoveries #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60K35 #msc:82C22

paper · pdf · doi:10.48550/arxiv.math/0009110

24 pages

arxiv created 2000/09/11 · openalex publication_date 2000/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an asymmetric zero range process in infinite volume with zero mean and random jump rates starting from equilibrium. We investigate the large deviations from the hydrodynamical limit of the empirical distribution of particles and prove an upper and a lower bound for the large deviation principle. Our main argument is based on a super-exponential estimate in infinite volume. For this we extend to our case a method developed by Kipnis & al. (1989) and Benois & al. (1995).

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