Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | |
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 |
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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 |
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Universidade Federal da Bahia (UFBA) |
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UFBA |
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UFBA |
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Repositório Institucional da UFBA |
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Repositório Institucional da UFBA |
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