00861nas a2200121 4500008004100000245010200041210006900143260001000212520035800222100002300580700002500603856011100628 2014 en d00aExistence and uniqueness of the gradient flow of the entropy in the space of probability measures0 aExistence and uniqueness of the gradient flow of the entropy in bSISSA3 aAfter a brief introduction on gradient ows in metric spaces and on geodesically convex functionals, we give an account of the proof (following the outline of [3, 4]) of the existence and uniqueness of the gradient ow of the Entropy in the space of Borel probability measures over a compact geodesic metric space with Ricci curvature bounded from below.1 aBianchini, Stefano1 aDabrowski, Alexander uhttp://math.sissa.it/publication/existence-and-uniqueness-gradient-flow-entropy-space-probability-measures