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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