Logarithmic Sobolev inequality for the inhomogeneous zero range process

2006/06/30 by Hanna Jankowski, Jankowski, Hanna · 2 citations
Mathematics · #60K35 #82C22 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Point processes and geometric inequalities #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR #msc:60K35 #msc:82C22

paper · pdf · doi:10.48550/arxiv.math/0606778

arxiv created 2006/06/30 · openalex publication_date 2006/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the logarithmic Sobolev constant for the inhomogeneous symmetric nearest neighbour zero range process on a cube of size N^d grows as N². We apply this result to the inhomogeneous process which arises in the study of the homogeneous version of the zero range interacting particle system with colours.

Citations

• Logarithmic Sobolev inequalities for finite Markov chains
• Logarithmic Sobolev Inequalities

Cited by

• Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes
• Nonequilibrium density fluctuations for the zero range process with colour

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