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.
The Topology of Information on the Space of Probability Measures over Polish Spaces
Relative entropy and waiting times for continuous-time Markov processes
Weak Convergence of Probability Measures
![QR code for arXiv:1202.0420 [math.PR]](http://oss.arxitics.com/images/favicon.svg)