Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction

Detalhes bibliográficos
Autor(a) principal: Alves, José Ferreira
Data de Publicação: 2010
Outros Autores: Pinheiro, Vilton Jeovan Viana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/5856
Resumo: Trabalho completo: acesso restrito, p. 1706–1730
id UFBA-2_fafe4a62724548b1b8b570a6313e37fc
oai_identifier_str oai:repositorio.ufba.br:ri/5856
network_acronym_str UFBA-2
network_name_str Repositório Institucional da UFBA
repository_id_str 1932
spelling Alves, José FerreiraPinheiro, Vilton Jeovan VianaAlves, José FerreiraPinheiro, Vilton Jeovan Viana2012-05-14T19:13:40Z2010-030001-8708http://www.repositorio.ufba.br/ri/handle/ri/5856v. 223, n. 5Trabalho completo: acesso restrito, p. 1706–1730We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as TKM=Ecu⊕Es, for which the center-unstable direction Ecu expands non-uniformly on some local unstable disk. We show that under these assumptions f induces a Gibbs–Markov structure. Moreover, the decay of the return time function can be controlled in terms of the time typical points need to achieve some uniform expanding behavior in the center-unstable direction. As an application of the main result we obtain certain rates for decay of correlations, large deviations, an almost sure invariance principle and the validity of the central limit theorem.Submitted by Bruna Lessa (lessbruna@gmail.com) on 2012-05-14T19:13:40Z No. of bitstreams: 1 (17)1-s2.0-S0001870809003259-main.pdf: 264757 bytes, checksum: 7eef80f7fba2c24e5f6745d000319314 (MD5)Made available in DSpace on 2012-05-14T19:13:40Z (GMT). No. of bitstreams: 1 (17)1-s2.0-S0001870809003259-main.pdf: 264757 bytes, checksum: 7eef80f7fba2c24e5f6745d000319314 (MD5) Previous issue date: 2010-03Elsevierhttp://dx.doi.org/10.1016/j.aim.2009.10.010reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAPartial hyperbolicityGibbs–Markov structureDecay of correlationsLarge deviationsAlmost sure invariance principleCentral limit theoremGibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central directionAdvances in Mathematicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL(17)1-s2.0-S0001870809003259-main.pdf(17)1-s2.0-S0001870809003259-main.pdfapplication/pdf264757https://repositorio.ufba.br/bitstream/ri/5856/1/%2817%291-s2.0-S0001870809003259-main.pdf7eef80f7fba2c24e5f6745d000319314MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/5856/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT(17)1-s2.0-S0001870809003259-main.pdf.txt(17)1-s2.0-S0001870809003259-main.pdf.txtExtracted texttext/plain61384https://repositorio.ufba.br/bitstream/ri/5856/3/%2817%291-s2.0-S0001870809003259-main.pdf.txt87c60a232498c0a71978e245a87d2e3aMD53ri/58562022-08-08 13:17:27.533oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:27Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
dc.title.alternative.pt_BR.fl_str_mv Advances in Mathematics
title Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
spellingShingle Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
Alves, José Ferreira
Partial hyperbolicity
Gibbs–Markov structure
Decay of correlations
Large deviations
Almost sure invariance principle
Central limit theorem
title_short Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
title_full Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
title_fullStr Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
title_full_unstemmed Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
title_sort Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
author Alves, José Ferreira
author_facet Alves, José Ferreira
Pinheiro, Vilton Jeovan Viana
author_role author
author2 Pinheiro, Vilton Jeovan Viana
author2_role author
dc.contributor.author.fl_str_mv Alves, José Ferreira
Pinheiro, Vilton Jeovan Viana
Alves, José Ferreira
Pinheiro, Vilton Jeovan Viana
dc.subject.por.fl_str_mv Partial hyperbolicity
Gibbs–Markov structure
Decay of correlations
Large deviations
Almost sure invariance principle
Central limit theorem
topic Partial hyperbolicity
Gibbs–Markov structure
Decay of correlations
Large deviations
Almost sure invariance principle
Central limit theorem
description Trabalho completo: acesso restrito, p. 1706–1730
publishDate 2010
dc.date.issued.fl_str_mv 2010-03
dc.date.accessioned.fl_str_mv 2012-05-14T19:13:40Z
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://www.repositorio.ufba.br/ri/handle/ri/5856
dc.identifier.issn.none.fl_str_mv 0001-8708
dc.identifier.number.pt_BR.fl_str_mv v. 223, n. 5
identifier_str_mv 0001-8708
v. 223, n. 5
url http://www.repositorio.ufba.br/ri/handle/ri/5856
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.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/j.aim.2009.10.010
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
bitstream.url.fl_str_mv https://repositorio.ufba.br/bitstream/ri/5856/1/%2817%291-s2.0-S0001870809003259-main.pdf
https://repositorio.ufba.br/bitstream/ri/5856/2/license.txt
https://repositorio.ufba.br/bitstream/ri/5856/3/%2817%291-s2.0-S0001870809003259-main.pdf.txt
bitstream.checksum.fl_str_mv 7eef80f7fba2c24e5f6745d000319314
1b89a9a0548218172d7c829f87a0eab9
87c60a232498c0a71978e245a87d2e3a
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)
repository.mail.fl_str_mv
_version_ 1808459398433996800

Registros relacionados