Exponential law for random subshifts of finite type
Dynamical Systems
2014-04-29 v2 Probability
Abstract
In this paper we study the distribution of hitting times for a class of random dynamical systems. We prove that for invariant measures with super-polynomial decay of correlations hitting times to dynamically defined cylinders satisfy exponential distribution. Similar results are obtained for random expanding maps. We emphasize that what we establish is a quenched exponential law for hitting times.
Keywords
Cite
@article{arxiv.1310.0336,
title = {Exponential law for random subshifts of finite type},
author = {Jerome Rousseau and Benoit Saussol and Paulo Varandas},
journal= {arXiv preprint arXiv:1310.0336},
year = {2014}
}
Comments
Accepted for publication in Stochastic Processes and their Applications