Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves

Detalhes bibliográficos
Autor(a) principal: Horita, Vanderlei [UNESP]
Data de Publicação: 2017
Outros Autores: Sambarino, Martin
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.4171/CMH/417
http://hdl.handle.net/11449/174978
Resumo: We consider classes of partially hyperbolic diffeomorphism f : M → M with splitting TM = Es ⊕ Ec ⊕ Eu and dim Ec = 2. These classes include for instance (perturbations of) the product of Anosov and conservative surface diffeomorphisms, skew products of surface diffeomorphisms over Anosov, partially hyperbolic symplectomorphisms on manifolds of dimension four with bidimensional center foliation whose center leaves are all compact. We prove that accessibility holds in these classes for C1 open and Cr dense subsets and moreover they are stably ergodic.
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spelling Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leavesAccessibilityErgodicityPartial hyperbolicityStable ergodicityWe consider classes of partially hyperbolic diffeomorphism f : M → M with splitting TM = Es ⊕ Ec ⊕ Eu and dim Ec = 2. These classes include for instance (perturbations of) the product of Anosov and conservative surface diffeomorphisms, skew products of surface diffeomorphisms over Anosov, partially hyperbolic symplectomorphisms on manifolds of dimension four with bidimensional center foliation whose center leaves are all compact. We prove that accessibility holds in these classes for C1 open and Cr dense subsets and moreover they are stably ergodic.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Departamento de Matemática IBILCE UNESP, Rua Cristóvão Colombo 2265CMAT Facultad de Ciencias Universidad de la República, Iguá 4225Departamento de Matemática IBILCE UNESP, Rua Cristóvão Colombo 2265Universidade Estadual Paulista (Unesp)Universidad de la RepúblicaHorita, Vanderlei [UNESP]Sambarino, Martin2018-12-11T17:13:42Z2018-12-11T17:13:42Z2017-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article467-512application/pdfhttp://dx.doi.org/10.4171/CMH/417Commentarii Mathematici Helvetici, v. 92, n. 3, p. 467-512, 2017.1420-89460010-2571http://hdl.handle.net/11449/17497810.4171/CMH/4172-s2.0-850264577562-s2.0-85026457756.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommentarii Mathematici Helvetici2,7562,756info:eu-repo/semantics/openAccess2023-10-07T06:03:18Zoai:repositorio.unesp.br:11449/174978Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T11:42:04.608545Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
title Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
spellingShingle Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
Horita, Vanderlei [UNESP]
Accessibility
Ergodicity
Partial hyperbolicity
Stable ergodicity
title_short Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
title_full Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
title_fullStr Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
title_full_unstemmed Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
title_sort Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves
author Horita, Vanderlei [UNESP]
author_facet Horita, Vanderlei [UNESP]
Sambarino, Martin
author_role author
author2 Sambarino, Martin
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidad de la República
dc.contributor.author.fl_str_mv Horita, Vanderlei [UNESP]
Sambarino, Martin
dc.subject.por.fl_str_mv Accessibility
Ergodicity
Partial hyperbolicity
Stable ergodicity
topic Accessibility
Ergodicity
Partial hyperbolicity
Stable ergodicity
description We consider classes of partially hyperbolic diffeomorphism f : M → M with splitting TM = Es ⊕ Ec ⊕ Eu and dim Ec = 2. These classes include for instance (perturbations of) the product of Anosov and conservative surface diffeomorphisms, skew products of surface diffeomorphisms over Anosov, partially hyperbolic symplectomorphisms on manifolds of dimension four with bidimensional center foliation whose center leaves are all compact. We prove that accessibility holds in these classes for C1 open and Cr dense subsets and moreover they are stably ergodic.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
2018-12-11T17:13:42Z
2018-12-11T17:13:42Z
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://dx.doi.org/10.4171/CMH/417
Commentarii Mathematici Helvetici, v. 92, n. 3, p. 467-512, 2017.
1420-8946
0010-2571
http://hdl.handle.net/11449/174978
10.4171/CMH/417
2-s2.0-85026457756
2-s2.0-85026457756.pdf
url http://dx.doi.org/10.4171/CMH/417
http://hdl.handle.net/11449/174978
identifier_str_mv Commentarii Mathematici Helvetici, v. 92, n. 3, p. 467-512, 2017.
1420-8946
0010-2571
10.4171/CMH/417
2-s2.0-85026457756
2-s2.0-85026457756.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Commentarii Mathematici Helvetici
2,756
2,756
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 467-512
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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