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.
http://hal.univ-brest.fr/hal-00399185
Contributeur : Jerome Rousseau
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Soumis le : lundi 12 octobre 2009 - 17:49:09
Dernière modification le : jeudi 15 mars 2018 - 16:56:04
Document(s) archivé(s) le : mercredi 22 septembre 2010 - 13:55:46
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〉
