Ho il piacere di invitarvi al seguente seminario che si terra' mercoledi' 26 marzo alle ore 15 nell'aula 1BC45 presso il Dipartimento di Matematica dell'Universita' degli Studi di Padova.

Speaker: Giada Basile Affiliation: Dip. di Matematica - Università la Sapienza

Title: Large deviations for degenerate jump processes

Abstract: We prove the joint large deviation principle for the empirical measure and flow for a class of continuous time Markov chains that admit an absorbing state. Due to the lack of uniform ergodicity, the zero level set of the rate function is not a singleton. As a corollary, we deduce the Donsker-Varadhan large deviation principle for the empirical measure. We discuss in detail an example given by a linear phonon Boltzmann equation. (joint work with Lorenzo Bertini)