New criteria for hyperbolicity based on periodic sets

dc.contributor.author	Castro, Armando
dc.creator	Castro, Armando
dc.date.accessioned	2014-02-25T12:52:08Z
dc.date.issued	2011
dc.identifier.issn	1678-7544
dc.identifier.uri	http://repositorio.ufba.br/ri/handle/ri/14707
dc.description	Texto completo: acesso restrito. p. 455-483	pt_BR
dc.description.abstract	We prove some criteria for uniform hyperbolicity based on the periodic points of the transformation. More precisely, if a mild hyperbolicity condition holds for the periodic points of any diffeomorphism in a residual subset of a C 1-open set U then there exists an open and dense subset A ⊂ U of Axiom A diffeomorphisms. Moreover, we also prove a noninvertible version of Ergodic Closing Lemma which we use to prove a counterpart of this result for local diffeomorphisms.	pt_BR
dc.language.iso	en	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.source	http://dx.doi.org/ 10.1007/s00574-011-0025-4	pt_BR
dc.subject	Ergodic theory	pt_BR
dc.subject	Structural Stability Conjecture for	pt_BR
dc.subject	Endomorphisms	pt_BR
dc.subject	Ergodic Closing Lemma	pt_BR
dc.subject	Nonsingular endomorphisms	pt_BR
dc.title	New criteria for hyperbolicity based on periodic sets	pt_BR
dc.title.alternative	Bulletin of the Brazilian Mathematical Society	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.embargo.liftdate	10000-01-01