Ricci curvature bounds for weakly interacting Markov chains
Probability
2016-02-18 v1
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.
Cite
@article{arxiv.1602.05414,
title = {Ricci curvature bounds for weakly interacting Markov chains},
author = {Matthias Erbar and Christopher Henderson and Georg Menz and Prasad Tetali},
journal= {arXiv preprint arXiv:1602.05414},
year = {2016}
}
Comments
23 pages; Comments welcome!