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 on groups induced by a conjugacy invariant set of generators.
Citation
Matthias Erbar. Christopher Henderson. Georg Menz. Prasad Tetali. "Ricci curvature bounds for weakly interacting Markov chains." Electron. J. Probab. 22 1 - 23, 2017. https://doi.org/10.1214/17-EJP49
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