Non-lacunary Gibbs Measures for Certain Fractal Repellers

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorHorita, Vanderlei
dc.creatorOliveira, Krerley
dc.date2014-05-20T14:02:51Z
dc.date2016-10-25T17:09:21Z
dc.date2014-05-20T14:02:51Z
dc.date2016-10-25T17:09:21Z
dc.date2009-09-01
dc.date.accessioned2017-04-05T21:28:36Z
dc.date.available2017-04-05T21:28:36Z
dc.identifierJournal of Statistical Physics. New York: Springer, v. 136, n. 5, p. 842-863, 2009.
dc.identifier0022-4715
dc.identifierhttp://hdl.handle.net/11449/22144
dc.identifierhttp://acervodigital.unesp.br/handle/11449/22144
dc.identifier10.1007/s10955-009-9811-4
dc.identifierWOS:000270341500003
dc.identifier0000-0002-9304-0655
dc.identifierhttp://dx.doi.org/10.1007/s10955-009-9811-4
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/867602
dc.descriptionIn this paper, we study non-uniformly expanding repellers constructed as the limit sets for a non-uniformly expanding dynamical systems. We prove that given a Holder continuous potential phi satisfying a summability condition, there exists non-lacunary Gibbs measure for phi, with positive Lyapunov exponents and infinitely many hyperbolic times almost everywhere. Moreover, this non-lacunary Gibbs measure is an equilibrium measure for phi.
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageeng
dc.publisherSpringer
dc.relationJournal of Statistical Physics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGibbs measures
dc.subjectEquilibrium states
dc.subjectThermodynamical formalism
dc.subjectNon-uniform expansion
dc.titleNon-lacunary Gibbs Measures for Certain Fractal Repellers
dc.typeOtro


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