Hitting time statistics for observations of dynamical systems

Abstract

In this paper we study the distribution of hitting and return times for observations of dynamical systems. We apply this results to get an exponential law for the distribution of hitting and return times for rapidly mixing random dynamical systems. In particular, it allows us to obtain an exponential law for random expanding maps, random circle maps expanding in average and randomly perturbed dynamical systems.

References in corpus (2)

• Rare events, escape rates and quasistationarity: some exact formulae
• Laws of rare events for deterministic and random dynamical systems

Cited by in corpus (8)

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• Decay of correlations and laws of rare events for transitive random maps
• Matching of observations of dynamical systems, with applications to sequence matching
• The first encounter of two billiard particles of small radius
• Generalized Fibonacci numbers and extreme value laws for the Rényi map