Coarse Ricci curvature for continuous-time Markov processes

Details Coarse Ricci curvature for continuous-time Markov processes Coarse Ricci curvature for continuous-time Markov processes

2012-02-02

arxiv.org/abs/1202.0420v1

Mathematics

Probability

Scientific paper

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.

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