Coarse Ricci curvature for continuous-time Markov processes

Abstract

The coarse Ricci curvature for Markov chains is generalized for continuous time. We show that a positive coarse Ricci curvature implies a contraction of the Markov process for the Wasserstein distance between probability measures. This leads to a spectral gap estimate in the reversible case.

References in corpus (1)

• Improved spectral gap bounds on positively curved manifolds

Cited by in corpus (1)

• A concentration theorem for the equilibrium measure of Markov chains with nonnegative coarse Ricci curvature