Exponential law for random subshifts of finite type

In this paper we study the distribution of hitting times for a class of random dynamical systems. We prove that for invariant measures with super-polynomial decay of correlations hitting times to dynamically defined cylinders satisfy exponential distribution. Similar results are obtained for random...

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Bibliographic Details
Published in:Stochastic processes and their applications 2014-10, Vol.124 (10), p.3260-3276
Main Authors: Rousseau, Jérôme, Saussol, Benoit, Varandas, Paulo
Format: Article
Language:English
Subjects:
Exponential law
Hitting times
Random dynamical systems
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Summary:In this paper we study the distribution of hitting times for a class of random dynamical systems. We prove that for invariant measures with super-polynomial decay of correlations hitting times to dynamically defined cylinders satisfy exponential distribution. Similar results are obtained for random expanding maps. We emphasize that what we establish is a quenched exponential law for hitting times.
ISSN:0304-4149
1879-209X
DOI:10.1016/j.spa.2014.04.016