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Existence and uniqueness of the gradient flow of the entropy in the space of probability measures

TitleExistence and uniqueness of the gradient flow of the entropy in the space of probability measures
Publication TypePreprint
2014
AuthorsBianchini, S, Dabrowski, A
Document NumberSISSA;17/2014/MATE
InstitutionSISSA

After 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.

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