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

Paolo Dai Pra (Università di Padova)
Gustavo Posta (Politecnico di Milano)

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.

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Pages: 1-21

Publication Date: May 4, 2013

DOI: 10.1214/EJP.v18-2041

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