TY - JOUR
T1 - Existence and uniqueness of the gradient flow of the Entropy in the space of probability measures
Y1 - 2014
A1 - Stefano Bianchini
A1 - Alexander Dabrowski
AB - 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.
PB - EUT Edizioni Universita di Trieste
UR - http://urania.sissa.it/xmlui/handle/1963/34693
N1 - This paper resumes the main part of the Bachelor thesis of the second author, discussed
in 2013 at the University of Trieste.
U1 - 34907
U2 - Mathematics
U4 - 1
ER -