Recurrence for random dynamical systems

Details Recurrence for random dynamical systems Recurrence for random dynamical systems

2009-06-26

arxiv.org/abs/0906.4847v2

Mathematics

Dynamical Systems

Scientific paper

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.

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