Nonlocal Wasserstein distance: metric and asymptotic properties
Nonlocal Wasserstein distance: metric and asymptotic properties
Abstract The seminal result of Benamou and Brenier provides a characterization of the Wasserstein distance as the path of the minimal action in the space of probability measures, where paths are solutions of the continuity equation and the action is the kinetic energy. Here we consider a fundamental modification of …