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2013 Entropy decay for interacting systems via the Bochner-Bakry-Émery approach
Paolo Dai Pra, Gustavo Posta
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Electron. J. Probab. 18(none): 1-21 (2013). DOI: 10.1214/EJP.v18-2041

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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Paolo Dai Pra. Gustavo Posta. "Entropy decay for interacting systems via the Bochner-Bakry-Émery approach." Electron. J. Probab. 18 1 - 21, 2013. https://doi.org/10.1214/EJP.v18-2041

Information

Accepted: 4 May 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1286.60097
MathSciNet: MR3065862
Digital Object Identifier: 10.1214/EJP.v18-2041

Subjects:
Primary: ‎39B62
Secondary: 60J80, 60K35

JOURNAL ARTICLE
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