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Law of large numbers for certain cylinder flows

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dc.contributor.authorCirilo, Patricia [UNESP]
dc.contributor.authorLima, Yuri
dc.contributor.authorPujals, Enrique
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionWeizmann Inst Sci
dc.contributor.institutionInst Nacl Matemat Pura & Aplicada
dc.date.accessioned2014-12-03T13:08:57Z
dc.date.available2014-12-03T13:08:57Z
dc.date.issued2014-06-01
dc.description.abstractWe construct new examples of cylinder flows, given by skew product extensions of irrational rotations on the circle, that are ergodic and rationally ergodic along a subsequence of iterates. In particular, they exhibit a law of large numbers. This is accomplished by explicitly calculating, for a subsequence of iterates, the number of visits to zero, and it is shown that such number has a Gaussian distribution.en
dc.description.affiliationUniv Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, Brazil
dc.description.affiliationWeizmann Inst Sci, Fac Math & Comp Sci, IL-76100 Rehovot, Israel
dc.description.affiliationInst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, BR-15054000 Sao Jose Do Rio Preto, Brazil
dc.format.extent801-825
dc.identifierhttp://dx.doi.org/10.1017/etds.2012.165
dc.identifier.citationErgodic Theory And Dynamical Systems. New York: Cambridge Univ Press, v. 34, p. 801-825, 2014.
dc.identifier.dimensionspub.1053892643
dc.identifier.doi10.1017/etds.2012.165
dc.identifier.issn0143-3857
dc.identifier.issn1469-4417
dc.identifier.orcid0000-0002-2179-9806
dc.identifier.urihttp://hdl.handle.net/11449/111755
dc.identifier.wosWOS:000338295300006
dc.language.isoeng
dc.publisherCambridge University Press
dc.publisherCambridge University Press (CUP)
dc.relation.ispartofErgodic Theory and Dynamical Systems
dc.relation.ispartofjcr0.960
dc.relation.ispartofsjr1,193
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.sourceDimensions
dc.titleLaw of large numbers for certain cylinder flowsen
dc.typeArtigopt
dcterms.licensehttp://journals.cambridge.org/action/displaySpecialPage?pageId=4676
dcterms.rightsHolderCambridge Univ Press
dspace.entity.typePublication
relation.isOrgUnitOfPublication43c38943-bd6f-4fb6-a9a5-8482a1f632c0
relation.isOrgUnitOfPublication.latestForDiscovery43c38943-bd6f-4fb6-a9a5-8482a1f632c0
unesp.author.orcid0000-0002-2179-9806[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas