RETURN TIME STATISTICS OF INVARIANT MEASURES FOR INTERVAL MAPS WITH POSITIVE LYAPUNOV EXPONENT
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Publication:3622769
DOI10.1142/S0219493709002567zbMath1175.37044arXiv0708.0379OpenAlexW2037165121WikidataQ59184838 ScholiaQ59184838MaRDI QIDQ3622769
Publication date: 28 April 2009
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.0379
Dynamical aspects of measure-preserving transformations (37A05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items (12)
The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Hitting times and periodicity in random dynamics ⋮ Extreme value laws in dynamical systems for non-smooth observations ⋮ Universal behaviour of extreme value statistics for selected observables of dynamical systems ⋮ Hitting and escaping statistics: mixing, targets and holes ⋮ Extremal behaviour of chaotic dynamics ⋮ Hitting time statistics and extreme value theory ⋮ Natural equilibrium states for multimodal maps ⋮ The extremal index, hitting time statistics and periodicity ⋮ Correlation decay and recurrence asymptotics for some robust nonuniformly hyperbolic maps ⋮ Poisson approximations and convergence rates for hyperbolic dynamical systems
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