Mariani: The low temperature limit of Dirichlet energies
Mariani: 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). http://cvgmt.sns.it/seminar/670/
When
Mon Dec 17, 2018 9:30am – 10:30am Coordinated Universal Time
