Il giorno lunedì 17 dicembre, alle ore 10:30, in aula Aula Marie Curie

Il professor Mauro Mariani (High School of Economics, Moscow) terrà un seminario dal titolo:

The low temperature limit of Dirichlet energies

Tutti gli interessati sono invitati a partecipare. Franco Flandoli

Abstract: Let M be a Riemannian manifold equipped with a reference measure m with density \exp(- V/T) with respect to the volume measure, where V represents a potential and the positive constant T represents the temperature. The Dirichlet energy with reference measure m is a classical functional defined on the space of probability measures on M. I will discuss the variational convergence of such a functional in the limit T \to 0. In particular, if V is not convex, a non-trivial expansion by Gamma-convergence holds under generic hypotheses on V. The results are based on a joint work with G.DiGesu (TU Wien).