SEMINARIO DI MATEMATICA
Lunedì 17 dicembre 2018
ore 10:30
*Scuola Normale Superiore*
Pisa
Aula Marie Curie
*Mauro Mariani*
*(High School of Economics, Moscow)*
terrà un seminario dal titolo:
*“**The low temperature limit of Dirichlet energies **”*
*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).*
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