Recurrence for random dynamical systems
Dynamical Systems
2009-10-12 v2
Abstract
This paper is a first step in the study of the recurrence behavior in random dynamical systems and randomly perturbed dynamical systems. In particular we define a concept of quenched and annealed return times for systems generated by the composition of random maps. We moreover prove that for super-polynomially mixing systems, the random recurrence rate is equal to the local dimension of the stationary measure.
Cite
@article{arxiv.0906.4847,
title = {Recurrence for random dynamical systems},
author = {Philippe Marie and Jerome Rousseau},
journal= {arXiv preprint arXiv:0906.4847},
year = {2009}
}