Entropy decay for interacting systems via the Bochner-Bakry-Émery approach

DOI10.1214/EJP.v18-2041zbMath1286.60097arXiv1205.4599OpenAlexW2031297463MaRDI QIDQ388923

Paolo Dai Pra, Gustavo Posta

Publication date: 17 January 2014

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4599

zbMATH Keywords

stochastic particle systemsentropy decaymodified logarithmic Sobolev inequality

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional inequalities, including subadditivity, convexity, etc. (39B62) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

A probabilistic approach to convex \((\phi)\)-entropy decay for Markov chains ⋮ Entropic Ricci curvature bounds for discrete interacting systems ⋮ Gibbs point process approximation: total variation bounds using Stein's method ⋮ Approximate tensorization of entropy at high temperature ⋮ The equilibrium states of large networks of Erlang queues

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