Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms

Detalhes bibliográficos
Autor(a) principal: Karina Daniela Marin
Data de Publicação: 2016
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFMG
Texto Completo: http://hdl.handle.net/1843/37641
https://orcid.org/0000-0002-6506-7180
Resumo: We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, having a periodic point and satisfying certain pinching and bunching conditions, can be C r -approximated by non-uniformly hyperbolic diffeomorphisms.
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spelling 2021-08-20T01:59:25Z2021-08-20T01:59:25Z2016v. 912357396DOI 10.4171/CMH/389 h0010-2571 (print) 1420-8946 (web)http://hdl.handle.net/1843/37641https://orcid.org/0000-0002-6506-7180We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, having a periodic point and satisfying certain pinching and bunching conditions, can be C r -approximated by non-uniformly hyperbolic diffeomorphisms.Usamos o Princípio de Invariância de Ávila e Viana para provar que todo difeomorfismo simplético parcialmente hiperbólico com feixe central bidimensional, tendo um ponto periódico e satisfazendo certas condições de pinçamento e agrupamento, pode ser C r aproximado por difeomorfismos hiperbólicos não uniformemente.CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorFAPERJ - Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de JaneiroengUniversidade Federal de Minas GeraisUFMGBrasilICX - DEPARTAMENTO DE MATEMÁTICACommentarii Mathematici HelveticiLyapunov, expoentes deFunções hiperbólicasSimetria (Matemática)DifeomorfismosLyapunov exponentsNon-uniform hyperbolicity,invariance principleCr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphismsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=91&iss=2&rank=7Karina Daniela Marinapplication/pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGORIGINALMAT _Marin Karina _ Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms_2016.pdfMAT _Marin Karina _ Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms_2016.pdfapplication/pdf352755https://repositorio.ufmg.br/bitstream/1843/37641/1/MAT%20_Marin%20Karina%20%20_%20Cr-density%20of%20%28non-uniform%29%20hyperbolicity%20in%20partially%20hyperbolic%20symplectic%20diffeomorphisms_2016.pdf966c369025f121197c02ffce27165d99MD51LICENSElicense.txtlicense.txttext/plain; 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dc.title.pt_BR.fl_str_mv Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
title Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
spellingShingle Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
Karina Daniela Marin
Lyapunov exponents
Non-uniform hyperbolicity,
invariance principle
Lyapunov, expoentes de
Funções hiperbólicas
Simetria (Matemática)
Difeomorfismos
title_short Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
title_full Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
title_fullStr Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
title_full_unstemmed Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
title_sort Cr-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
author Karina Daniela Marin
author_facet Karina Daniela Marin
author_role author
dc.contributor.author.fl_str_mv Karina Daniela Marin
dc.subject.por.fl_str_mv Lyapunov exponents
Non-uniform hyperbolicity,
invariance principle
topic Lyapunov exponents
Non-uniform hyperbolicity,
invariance principle
Lyapunov, expoentes de
Funções hiperbólicas
Simetria (Matemática)
Difeomorfismos
dc.subject.other.pt_BR.fl_str_mv Lyapunov, expoentes de
Funções hiperbólicas
Simetria (Matemática)
Difeomorfismos
description We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, having a periodic point and satisfying certain pinching and bunching conditions, can be C r -approximated by non-uniformly hyperbolic diffeomorphisms.
publishDate 2016
dc.date.issued.fl_str_mv 2016
dc.date.accessioned.fl_str_mv 2021-08-20T01:59:25Z
dc.date.available.fl_str_mv 2021-08-20T01:59:25Z
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://hdl.handle.net/1843/37641
dc.identifier.doi.pt_BR.fl_str_mv DOI 10.4171/CMH/389 h
dc.identifier.issn.pt_BR.fl_str_mv 0010-2571 (print) 1420-8946 (web)
dc.identifier.orcid.pt_BR.fl_str_mv https://orcid.org/0000-0002-6506-7180
identifier_str_mv DOI 10.4171/CMH/389 h
0010-2571 (print) 1420-8946 (web)
url http://hdl.handle.net/1843/37641
https://orcid.org/0000-0002-6506-7180
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Commentarii Mathematici Helvetici
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ICX - DEPARTAMENTO DE MATEMÁTICA
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
bitstream.url.fl_str_mv https://repositorio.ufmg.br/bitstream/1843/37641/1/MAT%20_Marin%20Karina%20%20_%20Cr-density%20of%20%28non-uniform%29%20hyperbolicity%20in%20partially%20hyperbolic%20symplectic%20diffeomorphisms_2016.pdf
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