English

Large deviation principles and fluctuation theorems for currents in semi-Markov processes

Statistical Mechanics 2017-09-19 v1 Mathematical Physics math.MP Probability

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}.

Keywords

Cite

@article{arxiv.1709.05653,
  title  = {Large deviation principles and fluctuation theorems for currents in semi-Markov processes},
  author = {A. Faggionato},
  journal= {arXiv preprint arXiv:1709.05653},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T21:45:49.163Z