  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.
