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

Abstract

We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry-Emery approach to this setting. In particular, we obtain volume-independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.

References in corpus (1)

• Ricci curvature of finite Markov chains via convexity of the entropy

Cited by in corpus (4)

• Entropic Ricci curvature bounds for discrete interacting systems
• Gibbs point process approximation: Total variation bounds using Stein's method
• The Equilibrium States of Large Networks of Erlang Queues
• Contractive coupling rates and curvature lower bounds for Markov chains