Dimension via Waiting time and Recurrence

dc.creatorGalatolo, S.
dc.date2003-09-13
dc.date2003-10-01
dc.date.accessioned2026-07-07T05:01:06Z
dc.date.available2026-07-07T05:01:06Z
dc.descriptionQuantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point $x$ in a decreasing sequence of neighborhoods of another point $y$. It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at $y$, then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.
dc.descriptionThis replace the previous version. New recent references are added
dc.identifierhttps://arxiv.org/abs/math/0309223
dc.identifierhttp://arxiv.org/abs/math/0309223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68556
dc.subjectDynamical Systems
dc.subject37B20, 37C45
dc.titleDimension via Waiting time and Recurrence
dc.typetext

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