dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorHorita, V
dc.creatorViana, M.
dc.date2014-05-20T15:25:29Z
dc.date2016-10-25T17:59:58Z
dc.date2014-05-20T15:25:29Z
dc.date2016-10-25T17:59:58Z
dc.date2001-12-01
dc.date.accessioned2017-04-05T23:52:38Z
dc.date.available2017-04-05T23:52:38Z
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.identifierhttp://acervodigital.unesp.br/handle/11449/35905
dc.identifier10.1023/A:1013501211027
dc.identifierWOS:000172822600005
dc.identifier0000-0002-9304-0655
dc.identifierhttp://dx.doi.org/10.1023/A:1013501211027
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/879526
dc.descriptionThis 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.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectHausdorff dimension
dc.subjectnon-uniform hyperbolicity
dc.subjectrepeller
dc.subjectdynamical dimension
dc.titleHausdorff dimension of non-hyperbolic repellers. I: Maps with holes
dc.typeOtro


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