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arXiv:0906.4847 [math.DS]AbstractReferencesReviewsResources

Recurrence for random dynamical systems

Philippe Marie, Jerome Rousseau

Published 2009-06-26, updated 2009-10-12Version 2

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.

Categories: math.DS
Subjects: 37C45, 37B20, 37A25
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