Local rates of Poincare recurrence for rotations and weak mixing

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dc.creatorChazottes, JR
dc.creatorDurand, F.
dc.date2003-12-17
dc.date.accessioned2026-07-07T05:03:59Z
dc.date.available2026-07-07T05:03:59Z
dc.descriptionWe study the lower and upper local rates of Poincare recurrence of rotations on the circle by means of symbolic dynamics. As a consequence, we show that if the lower rate of Poincare recurrence of an ergodic dynamical system (X,F,mu,T) is greater or equal to 1 mu-almost everywhere, then it is weakly mixing.
dc.descriptionTo appear in Discrete and Continuous Dynam. Syst. (Series A)
dc.identifierhttps://arxiv.org/abs/math/0312328
dc.identifierhttp://arxiv.org/abs/math/0312328
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69630
dc.subjectDynamical Systems
dc.titleLocal rates of Poincare recurrence for rotations and weak mixing
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