Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension

Detalhes bibliográficos
Autor(a) principal: Alves, José Ferreira
Data de Publicação: 2002
Outros Autores: Luzzatto, Stefano, 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/7380
Resumo: p. 26-31
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spelling Alves, José FerreiraLuzzatto, StefanoPinheiro, Vilton Jeovan VianaAlves, José FerreiraLuzzatto, StefanoPinheiro, Vilton Jeovan Viana2012-12-10T18:49:56Z2012-12-10T18:49:56Z20021079-6762http://www.repositorio.ufba.br/ri/handle/ri/7380v. 9p. 26-31We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure for which the decay of the tail of the return time function can be controlled in terms of the time generic points needed to achieve some uniform expanding behavior. As a consequence we obtain some rates for the decay of correlations of those maps and conditions for the validity of the Central Limit Theorem.Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2012-12-10T18:49:56Z No. of bitstreams: 1 S1079-6762-03-00106-9.pdf: 290988 bytes, checksum: c7e7a9b646e80da2699a10caf11aa26f (MD5)Made available in DSpace on 2012-12-10T18:49:56Z (GMT). No. of bitstreams: 1 S1079-6762-03-00106-9.pdf: 290988 bytes, checksum: c7e7a9b646e80da2699a10caf11aa26f (MD5) Previous issue date: 2003-02http://dx.doi.org/10.1090/S1079-6762-03-00106-9reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMarkov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimensionElectronic Research Announcements of the American Mathematical Societyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/7380/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52ORIGINALS1079-6762-03-00106-9.pdfS1079-6762-03-00106-9.pdfapplication/pdf290988https://repositorio.ufba.br/bitstream/ri/7380/1/S1079-6762-03-00106-9.pdfc7e7a9b646e80da2699a10caf11aa26fMD51TEXTS1079-6762-03-00106-9.pdf.txtS1079-6762-03-00106-9.pdf.txtExtracted texttext/plain14804https://repositorio.ufba.br/bitstream/ri/7380/3/S1079-6762-03-00106-9.pdf.txt04dbe4948550358aa9596fd073c0c89bMD53ri/73802022-09-20 11:26:31.546oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-09-20T14:26:31Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
dc.title.alternative.pt_BR.fl_str_mv Electronic Research Announcements of the American Mathematical Society
title Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
spellingShingle Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
Alves, José Ferreira
title_short Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
title_full Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
title_fullStr Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
title_full_unstemmed Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
title_sort Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension
author Alves, José Ferreira
author_facet Alves, José Ferreira
Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
author_role author
author2 Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
author2_role author
author
dc.contributor.author.fl_str_mv Alves, José Ferreira
Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
Alves, José Ferreira
Luzzatto, Stefano
Pinheiro, Vilton Jeovan Viana
description p. 26-31
publishDate 2002
dc.date.issued.fl_str_mv 2002
dc.date.accessioned.fl_str_mv 2012-12-10T18:49:56Z
dc.date.available.fl_str_mv 2012-12-10T18:49:56Z
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/7380
dc.identifier.issn.none.fl_str_mv 1079-6762
dc.identifier.number.pt_BR.fl_str_mv v. 9
identifier_str_mv 1079-6762
v. 9
url http://www.repositorio.ufba.br/ri/handle/ri/7380
dc.language.iso.fl_str_mv eng
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