RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITAÌ€ DI TRIESTE
Abstract
After a brief introduction on gradient flows in metric spaces and on geodesically convex functionals, we give an account of the proof (following the outline of \cite{GradientFlows,HeatCompact}) of the existence and uniqueness of the gradient flow of the Entropy in the space of Borel probability measures over a compact geodesic metric space with Ricci curvature bounded from below.
