TY - CHAP
AB - We give a short overview on a recently developed notion of Ricci curvature for discrete spaces. This notion relies on geodesic convexity properties of the relative entropy along geodesics in the space of probability densities, for a metric which is similar to (but different from) the 2-Wasserstein metric. The theory can be considered as a discrete counterpart to the theory of Ricci curvature for geodesic measure spaces developed by Lottâ€“Sturmâ€“Villani.
AU - Maas, Jan
ED - Najman, Laurent
ED - Romon, Pascal
ID - 649
T2 - Modern Approaches to Discrete Curvature
TI - Entropic Ricci curvature for discrete spaces
VL - 2184
ER -