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math.PR2012★ 9 cited
From level 2.5 to level 2 large deviations for continuous time Markov chains
L. Bertini, A. Faggionato, D. Gabrielli
We recover the Donsker-Varadhan large deviations principle (LDP) for the empirical measure of a continuous time Markov chain on a countable (finite or infinite) state space from th…
math.PR2012
Large deviations of the empirical flow for continuous time Markov chains
Lorenzo Bertini, Alessandra Faggionato, Davide Gabrielli
We consider a continuous time Markov chain on a countable state space and prove a joint large deviation principle for the empirical measure and the empirical flow, which accounts f…