From level 2.5 to level 2 large deviations for continuous time Markov chains

Abstract

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 the joint LDP for the empirical measure and the empirical flow proved in [2].

14 pages, no figure

Cited by in corpus (6)

• A formal view on 2.5 large deviations and fluctuation relations
• Level 2.5 large deviations for continuous time Markov chains with time periodic rates
• Non equivalence of dynamical ensembles and emergent non ergodicity
• The explicit form of the rate function for semi-Markov processes and its contractions
• Minimum Power to Maintain a Nonequilibrium Distribution of a Markov Chain
• Donsker-Varadhan asymptotics for degenerate jump Markov processes