Statistics of closest returns for some non-uniformly hyperbolic systems

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dc.creatorCollet, P.
dc.date1999-04-23
dc.date.accessioned2026-07-07T05:28:48Z
dc.date.available2026-07-07T05:28:48Z
dc.descriptionFor non uniformly hyperbolic maps of the interval with exponential decay of correlations we prove that the law of closest return to a given point when suitably normalized is almost surely asymptotically exponential. A similar result holds when the reference point is the initial point of the trajectory. We use the framework for non uniformly hyperbolic dynamical systems developed by L.S.Young.
dc.identifierhttps://arxiv.org/abs/math/9904134
dc.identifierhttp://arxiv.org/abs/math/9904134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78398
dc.subjectDynamical Systems
dc.subject34C35, 60G70
dc.titleStatistics of closest returns for some non-uniformly hyperbolic systems
dc.typetext

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