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Exponential law for random subshifts of finite type |
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| Authors: | Jérôme Rousseau Benoit Saussol Paulo Varandas |
| Institution: | 1. Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110 Salvador, Brazil;2. Université Européenne de Bretagne, France;3. Université de Brest, Laboratoire de Mathématiques de Bretagne, Atlantique CNRS UMR 6205, 6 avenue Victor le Gorgeu, CS93837, F-29238 Brest Cedex 3, France |
| Abstract: | 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. |
| Keywords: | Random dynamical systems Hitting times Exponential law |
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