Supercritical behavior of asymmetric zero-range process with sitewise disorder

2014/11/16 by Christophe Bahadoran, Thomas Mountford, Bahadoran, C. +5
Economics, Econometrics and Finance · Mathematics · #60K35 #60K37 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1411.4305

openalex publication_date 2014/11/16 · openalex created_date 2022/01/25 · openalex updated_date 2026/07/28

Abstract

We establish necessary and sufficient conditions for weak convergence to the upper invariant measure for asymmetric nearest neighbour zero range processes with non homogeneous jump rates. The class of environments considered is close to that considered by Andjel, Ferrari, Guiol and Landim, while our class of processes is broader. We also give a simpler proof of a result of Ferrari and Sisko with weaker assumptions.

Citations

• A convexity property of expectations under exponential weights

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