Berry-Esseen theorem and local limit theorem for non uniformly expanding maps

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dc.creatorGouezel, Sebastien
dc.date2003-10-24
dc.date2004-12-13
dc.date.accessioned2026-07-07T05:02:14Z
dc.date.available2026-07-07T05:02:14Z
dc.descriptionWe prove that, in Young towers with sufficiently small tails, the speed in the central limit theorem is O(1/\sqrt{n}), and the local limit theorem holds. This implies the same results for many non uniformly expanding dynamical systems, namely those for which a tower with sufficiently fast returns can be constructed.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/math/0310391
dc.identifierhttp://arxiv.org/abs/math/0310391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68975
dc.subjectDynamical Systems
dc.subject37A30;37A50;37C30;37E05;47A56;60F15
dc.titleBerry-Esseen theorem and local limit theorem for non uniformly expanding maps
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