New criteria for hyperbolicity based on periodic sets

Detalhes bibliográficos
Autor(a) principal: Castro, Armando
Data de Publicação: 2011
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14707
Resumo: Texto completo: acesso restrito. p. 455-483
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spelling Castro, ArmandoCastro, Armando2014-02-25T12:52:08Z20111678-7544http://repositorio.ufba.br/ri/handle/ri/14707Texto completo: acesso restrito. p. 455-483We 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.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2014-02-25T12:52:08Z No. of bitstreams: 1 Armando Castro.pdf: 274917 bytes, checksum: e6a99e7ddc5f322771e2063505090405 (MD5)Made available in DSpace on 2014-02-25T12:52:08Z (GMT). No. of bitstreams: 1 Armando Castro.pdf: 274917 bytes, checksum: e6a99e7ddc5f322771e2063505090405 (MD5) Previous issue date: 2011http://dx.doi.org/ 10.1007/s00574-011-0025-4reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAErgodic theoryStructural Stability Conjecture forEndomorphismsErgodic Closing LemmaNonsingular endomorphismsNew criteria for hyperbolicity based on periodic setsBulletin of the Brazilian Mathematical Societyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALArmando Castro.pdfArmando Castro.pdfapplication/pdf274917https://repositorio.ufba.br/bitstream/ri/14707/1/Armando%20Castro.pdfe6a99e7ddc5f322771e2063505090405MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14707/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTArmando Castro.pdf.txtArmando Castro.pdf.txtExtracted texttext/plain63492https://repositorio.ufba.br/bitstream/ri/14707/3/Armando%20Castro.pdf.txt5fa52e977611787d8f3eee64b0520639MD53ri/147072022-07-05 14:03:13.715oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:13Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv New criteria for hyperbolicity based on periodic sets
dc.title.alternative.pt_BR.fl_str_mv Bulletin of the Brazilian Mathematical Society
title New criteria for hyperbolicity based on periodic sets
spellingShingle New criteria for hyperbolicity based on periodic sets
Castro, Armando
Ergodic theory
Structural Stability Conjecture for
Endomorphisms
Ergodic Closing Lemma
Nonsingular endomorphisms
title_short New criteria for hyperbolicity based on periodic sets
title_full New criteria for hyperbolicity based on periodic sets
title_fullStr New criteria for hyperbolicity based on periodic sets
title_full_unstemmed New criteria for hyperbolicity based on periodic sets
title_sort New criteria for hyperbolicity based on periodic sets
author Castro, Armando
author_facet Castro, Armando
author_role author
dc.contributor.author.fl_str_mv Castro, Armando
Castro, Armando
dc.subject.por.fl_str_mv Ergodic theory
Structural Stability Conjecture for
Endomorphisms
Ergodic Closing Lemma
Nonsingular endomorphisms
topic Ergodic theory
Structural Stability Conjecture for
Endomorphisms
Ergodic Closing Lemma
Nonsingular endomorphisms
description Texto completo: acesso restrito. p. 455-483
publishDate 2011
dc.date.issued.fl_str_mv 2011
dc.date.accessioned.fl_str_mv 2014-02-25T12:52:08Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14707
dc.identifier.issn.none.fl_str_mv 1678-7544
identifier_str_mv 1678-7544
url http://repositorio.ufba.br/ri/handle/ri/14707
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/ 10.1007/s00574-011-0025-4
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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