Entropy decay for interacting systems via the Bochner – Bakry – Émery approach ∗
نویسندگان
چکیده
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.
منابع مشابه
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 volumeindependent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore m...
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