Ricci curvature bounds for weakly interacting Markov chains

Christopher Henderson
Christopher Henderson
Georg Menz
Georg Menz

ELECTRONIC JOURNAL OF PROBABILITY, 2017.

Cited by: 3|Views7

Abstract:

We establish a general perturbative method to prove entropic Ricci curvature bounds for interacting stochastic particle systems. We apply this method to obtain curvature bounds in several examples, namely: Glauber dynamics for a class of spin systems including the Ising and Curie-Weiss models, a class of hard-core models and random walks ...More

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