Ricci curvature bounds for weakly interacting Markov chains
  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. 
Matthias Erbar, Christopher Henderson, Georg Menz, Prasad Tetali
math.PR