The dynamical Borel-Cantelli lemma and the waiting time problems

Simple item page
dc.creatorGalatolo, Stefano
dc.creatorKim, Dong Han
dc.date2006-10-06
dc.date2008-04-13
dc.date.accessioned2026-07-07T09:31:50Z
dc.date.available2026-07-07T09:31:50Z
dc.descriptionWe investigate the connection between the dynamical Borel-Cantelli and waiting time results. We prove that if a system has the dynamical Borel-Cantelli property, then the time needed to enter for the first time in a sequence of small balls scales as the inverse of the measure of the balls. Conversely if we know the waiting time behavior of a system we can prove that certain sequences of decreasing balls satisfies the Borel-Cantelli property. This allows to obtain Borel-Cantelli like results in systems like axiom A and generic interval exchanges.
dc.descriptionIn this revision some small errors are corrected
dc.identifierhttps://arxiv.org/abs/math/0610213
dc.identifierhttp://arxiv.org/abs/math/0610213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158602
dc.subjectDynamical Systems
dc.subject37A25
dc.titleThe dynamical Borel-Cantelli lemma and the waiting time problems
dc.typetext

Files

Collections

arXiv