Ricci curvature of metric spaces

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On the convergence to equilibrium of Kac’s random walk on matrices (2007, background): “Particularly relevant is a preprint of Ollivier [11], released during the preparation of the present paper, that contains a result related to (but a bit weaker than) our “path coupling” result, Theorem 3.”
Gradient flows of the entropy for finite Markov chains (2011, background): “Ollivier [20, 21] defined a notion of Ricci curvature by comparing transportation distances between small balls and their centers.”
CURVATURE, CONCENTRATION AND ERROR ESTIMATES FOR MARKOV CHAIN MONTE CARLO (2009, unknown): “The Annals of Probability 2010, Vol. 38, No. 6, 2418–2442 DOI: 10.1214/10-AOP541 © Institute of Mathematical Statistics, 2010”
Understanding over-squashing and bottlenecks on graphs via curvature (2021, background): “The main examples of edge-based curvature are the Forman curvature F ( i, j ) (Forman, 2003) and the Ollivier curvature κ ( i, j ) in Ollivier (2007; 2009) (see Appendix).”
Ricci curvature of Markov chains on metric spaces (2007, background): “Some of the results of this text have been announced in a short note [40].”
Ricci Curvature of Finite Markov Chains via Convexity of the Entropy (2011, background): “In the setting of graphs Ollivier’s Ricci curvature has been further studied in the recent preprints [6, 22, 24].”