Ho il piacere di invitarvi al seguente seminario, che si terrà lunedì 11 novembre, alle ore 14:30, nell'aula 2BC30 della Torre Archimede presso il Dipartimento di Matematica dell'Università degli Studi di Padova.

SPEAKER: Prof. Alessandra Faggionato

AFFILIATION: Dip. di Matematica, Roma La Sapienza

TITLE: Flows, currents and symmetries for continuous time Markov chains: a large deviation approach.

ABSTRACT: We consider a continuous time Markov chain on a countable space (finite or infinite). We focus on the large deviations of the empirical measure, flow and current, as well as their generalization to higher order. In several cases the associated rate function is explicit. As application we investigate the Gallavotti-Cohen functional and its symmetry, and discuss several systems, including birth-and-death Markov chains, random walks on lattices approximating diffusions under an external potential, particle systems.