Recurrence for random dynamical systems

2009/06/26 by Marie, Philippe, Rousseau, Jerome · 1 citation
#37A25 (Secondary) #37B20 #37C45 #37H (Primary) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.4847

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.

Cited by

• Higher order return times for ϕ-mixing measures

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