[CvGmt News] [cvgmt seminar] The low temperature limit of Dirichlet energies
matteo.novaga at unipi.it
matteo.novaga at unipi.it
Sat Dec 8 08:58:10 CET 2018
The low temperature limit of Dirichlet energies
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http://cvgmt.sns.it/seminar/670/
Date: Monday, Dec 17, 2018
Time: 10:30
Place: Aula Marie Curie, Scuola Normale Superiore
Speaker: Mauro Mariani (High School of Economics, Moscow)
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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