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Recurrence for random dynamical systems

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.
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https://hal.univ-brest.fr/hal-00399185
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Submitted on : Monday, October 12, 2009 - 5:49:09 PM
Last modification on : Wednesday, April 1, 2020 - 1:57:15 AM
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Philippe Marie, Jerome Rousseau. Recurrence for random dynamical systems. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2011, 30 (1), pp.1-16. ⟨10.3934/dcds.2011.30.1⟩. ⟨hal-00399185v2⟩

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