Avviso di Seminario Il 12.3.23 alle ore 14:00 presso la Sala di Consiglio del Dipartimento di Matematica, Università di Roma `La Sapienza' Claudio Landim terra' il seminario "\Gamma-expansion of the level two large deviations rate functionals" Abstract We present a general method, based on tools used to prove the metastable behaviour of Markov chains, to derive a full expansion of its level two large deviations rate functional, expressing it as $I_n = I^{(0)} \,+\, \sum_{1\le p\le \mf q} (1/\theta^{(p)}_n) \, I^{(p)}$, where $I^{(p)}$ represent rate functionals independent of $n$ and $\theta^{(p)}_n$ sequences such that $\theta^{(1)}_n \to\infty$, $\theta^{(p)}_n / \theta^{(p+1)}_n \to 0$ for $1\le p< \mf q$. The speed $\theta^{(p)}_n$ corresponds to the time-scale at which the Markov chains exhibits a metastable behavior, and the $I^{(p-1)}$ zero-level sets to the metastable states. Gli interessati sono invitati a partecipare. Lorenzo Bertini Dipartimento di Matematica Universita' di Roma La Sapienza | Tel: +39 - 06 4991 4974 P.le A. Moro 2, 00185 Roma | E-mail: bertini@mat.uniroma1.it Italy Home page: http://www.mat.uniroma1.it/people/bertini/ama/