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)