Recurrence rate in rapidly mixing dynamical systems

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dc.creatorSaussol, Benoit
dc.date2004-12-10
dc.date.accessioned2026-07-07T05:15:11Z
dc.date.available2026-07-07T05:15:11Z
dc.descriptionFor measure preserving dynamical systems on metric spaces we study the time needed by a typical orbit to return back close to its starting point. We prove that when the decay of correlation is super-polynomial the recurrence rates and the pointwise dimensions are equal. This gives a broad class of systems for which the recurrence rate equals the Hausdorff dimension of the invariant measure.
dc.identifierhttps://arxiv.org/abs/math/0412211
dc.identifierhttp://arxiv.org/abs/math/0412211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73549
dc.subjectDynamical Systems
dc.subject37B20, 37C45, 37A25
dc.titleRecurrence rate in rapidly mixing dynamical systems
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