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

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorIMPA
dc.date.accessioned2014-05-20T15:25:29Z
dc.date.accessioned2022-10-05T16:33:39Z
dc.date.available2014-05-20T15:25:29Z
dc.date.available2022-10-05T16:33:39Z
dc.date.created2014-05-20T15:25:29Z
dc.date.issued2001-12-01
dc.identifierJournal of Statistical Physics. New York: Kluwer Academic/plenum Publ, v. 105, n. 5-6, p. 835-862, 2001.
dc.identifier0022-4715
dc.identifierhttp://hdl.handle.net/11449/35905
dc.identifier10.1023/A:1013501211027
dc.identifierWOS:000172822600005
dc.identifier0000-0002-9304-0655
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3907738
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.
dc.languageeng
dc.publisherKluwer Academic/plenum Publ
dc.relationJournal of Statistical Physics
dc.relation1.496
dc.relation0,930
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectHausdorff dimension
dc.subjectnon-uniform hyperbolicity
dc.subjectrepeller
dc.subjectdynamical dimension
dc.titleHausdorff dimension of non-hyperbolic repellers. I: Maps with holes
dc.typeArtigo


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