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Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes

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dc.contributor.authorHorita, V
dc.contributor.authorViana, M.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionIMPA
dc.date.accessioned2014-05-20T15:25:29Z
dc.date.available2014-05-20T15:25:29Z
dc.date.issued2001-12-01
dc.description.abstractThis is the first paper in a two-part series devoted to studying the Hausdorff dimension of invariant sets of non-uniformly hyperbolic, non-conformal maps. Here we consider a general abstract model, that we call piecewise smooth maps with holes. We show that the Hausdorff dimension of the repeller is strictly less than the dimension of the ambient manifold. Our approach also provides information on escape rates and dynamical dimension of the repeller.en
dc.description.affiliationUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationIMPA, BR-22460320 Rio de Janeiro, Brazil
dc.description.affiliationUnespUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.format.extent835-862
dc.identifierhttp://dx.doi.org/10.1023/A:1013501211027
dc.identifier.citationJournal of Statistical Physics. New York: Kluwer Academic/plenum Publ, v. 105, n. 5-6, p. 835-862, 2001.
dc.identifier.doi10.1023/A:1013501211027
dc.identifier.issn0022-4715
dc.identifier.orcid0000-0002-9304-0655
dc.identifier.urihttp://hdl.handle.net/11449/35905
dc.identifier.wosWOS:000172822600005
dc.language.isoeng
dc.publisherKluwer Academic/plenum Publ
dc.relation.ispartofJournal of Statistical Physics
dc.relation.ispartofjcr1.496
dc.relation.ispartofsjr0,930
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectHausdorff dimensionpt
dc.subjectnon-uniform hyperbolicitypt
dc.subjectrepellerpt
dc.subjectdynamical dimensionpt
dc.titleHausdorff dimension of non-hyperbolic repellers. I: Maps with holesen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights
dcterms.rightsHolderKluwer Academic/plenum Publ
dspace.entity.typePublication
unesp.author.orcid0000-0002-9304-0655[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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