Logarithmic Sobolev inequality for zero-range dynamics

DOI10.1214/009117905000000332zbMath1099.60068arXivmath/0401248OpenAlexW3098906798MaRDI QIDQ2368842

Gustavo Posta, Paolo Dai Pra

Publication date: 28 April 2006

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401248

zbMATH Keywords

zero-range processes

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (9)

Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle ⋮ Entropy dissipation estimates in a zero-range dynamics ⋮ Cutoff for the mean-field zero-range process with bounded monotone rates ⋮ Upgrading MLSI to LSI for reversible Markov chains ⋮ Entropy dissipation estimates for inhomogeneous zero-range processes ⋮ Binomial-Poisson entropic inequalities and the M/M/∞queue ⋮ Convex entropy decay via the Bochner-Bakry-Emery approach ⋮ Quantitative ergodicity for the symmetric exclusion process with stationary initial data ⋮ A version of Aldous' spectral-gap conjecture for the zero range process

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• The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
• Entropy inequalities for unbounded spin systems
• Logarithmic Sobolev inequalities for finite Markov chains
• Spectral gap for an unrestricted Kawasaki type dynamics

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