Geometric Applications of Wasserstein Distance

  • Published 2013


The second lecture will present the notion of the lower curvature bound [3] for a metric measure spaces. Some basic concepts of metric geometry (length spaces, geodesics, geodesic spaces) will be recalled. A kind of a generalization of Wasserstein distance, namely the Wasserstein-Gromov distance of metric measure spaces and the relative entropy of measures will be the main definitions that will be presented.

Cite this paper

@inproceedings{WALCZAK2013GeometricAO, title={Geometric Applications of Wasserstein Distance}, author={SZYMON M. WALCZAK}, year={2013} }