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Existence and uniqueness of the gradient flow of the Entropy in the space of probability measures
Bianchini, Stefano
Dabrowsky, Alexander
2014-12-23
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 [3,7]) 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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
46 (2014)
Subjects
Languages
en
File(s)