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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Valeria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it