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 par- ticular, we obtain volume-independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.
Entropy decay for interacting systems via the Bochner–Bakry–Émery approach / P., Dai Pra; Posta, Gustavo. - In: ELECTRONIC JOURNAL OF PROBABILITY. - ISSN 1083-6489. - ELETTRONICO. - 18:(2013), pp. 1-21. [10.1214/EJP.v18-2041]
Entropy decay for interacting systems via the Bochner–Bakry–Émery approach
POSTA, GUSTAVO
2013
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 par- ticular, we obtain volume-independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.File allegati a questo prodotto
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