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Large deviation principles and fluctuation theorems for currents in semi-Markov processes (1709.05653v1)
Published 17 Sep 2017 in cond-mat.stat-mech, math-ph, math.MP, and math.PR
Abstract: In this short note we consider semi-Markov processes satisfying the condition of direction-time independence (Markov renewal processes). We derive large deviation principles and fluctuation theorems for the empirical current and the empirical currents along cycles. Our derivation is based on the joint LDP for the empirical measure and flow recently proved in \cite{MZ}.
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