Level 2.5 large deviations for continuous time Markov chains with time periodic rates

L. Bertini, R. Chetrite, A. Faggionato, D. Gabrielli

Published 2017-10-22Version 1

We consider an irreducible continuous time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviations principle for the empirical measure and flow and the joint large deviations principle for the empirical measure and current. We derive some Gallavotti-Cohen type symmetries and discuss some applications.