Exponential law for random subshifts of finite type

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:124

Article

Rousseau, Jerome¹  Saussol, Benoit^2,3  Varandas, Paulo¹ 

[1] Univ Fed Bahia, Dept Matemat, BR-40170110 Salvador, BA, Brazil

[2] Univ Europeenne Bretagne, Rennes, France

[3] Univ Brest, Lab Math Bretagne, Atlantique CNRS UMR 6205, F-29238 Brest 3, France

关键词: Random dynamical systems;    Hitting times;    Exponential law;   

DOI  :  10.1016/j.spa.2014.04.016

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free