%0 Journal Article %T Large deviations for the empirical measure of heavy tailed Markov renewal processes %A Mauro Mariani %A Lorenzo Zambotti %J Mathematics %D 2012 %I arXiv %X A large deviations principle is established for the joint law of the empirical measure and the flow measure of a renewal Markov process on a finite graph. We do not assume any bound on the arrival times, allowing heavy tailed distributions. In particular, the rate functional is in general degenerate (it has a nontrivial set of zeros) and not strictly convex. These features show a behavior highly different from what one may guess with a heuristic Donsker-Varadhan analysis of the problem. %U http://arxiv.org/abs/1203.5930v2