Lyapunov exponents and rates of mixing for one-dimensional maps

Detalhes bibliográficos
Autor(a) principal: Alves, José Ferreira
Data de Publicação: 2004
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/7317
Resumo: p.637-657
id UFBA-2_1df514f809a80551213520b38f7db885
oai_identifier_str oai:repositorio.ufba.br:ri/7317
network_acronym_str UFBA-2
network_name_str Repositório Institucional da UFBA
repository_id_str 1932
spelling Alves, José FerreiraLuzzatto, StefanoPinheiro, Vilton Jeovan VianaAlves, José FerreiraLuzzatto, StefanoPinheiro, Vilton Jeovan Viana2012-12-07T13:20:03Z2012-12-07T13:20:03Z20040143-3857http://www.repositorio.ufba.br/ri/handle/ri/7317v. 24, n. 3p.637-657We show that one-dimensionalmaps f with strictly positive Lyapunov exponents almost everywhere admit an absolutely continuous invariantmeasure. If f is topologically transitive, some power of f is mixing and, in particular, the correlation of H¨older continuous observables decays to zero. The main objective of this paper is to show that the rate of decay of correlations is determined, in some situations, by the average rate at which typical points start to exhibit exponential growth of the derivative.Submitted by Reis Suelen (suelen_suzane@hotmail.com) on 2012-12-07T13:20:03Z No. of bitstreams: 1 displayFulltext.pdf: 651888 bytes, checksum: a0bcfa18453bc6279ecbe05dd73fe6ec (MD5)Made available in DSpace on 2012-12-07T13:20:03Z (GMT). No. of bitstreams: 1 displayFulltext.pdf: 651888 bytes, checksum: a0bcfa18453bc6279ecbe05dd73fe6ec (MD5) Previous issue date: 2004http://dx.doi.org/10.1017/S0143385703000579reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBALyapunov exponents and rates of mixing for one-dimensional mapsErgodic theory and dynamical systemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINALdisplayFulltext.pdfdisplayFulltext.pdfapplication/pdf651888https://repositorio.ufba.br/bitstream/ri/7317/1/displayFulltext.pdfa0bcfa18453bc6279ecbe05dd73fe6ecMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/7317/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTdisplayFulltext.pdf.txtdisplayFulltext.pdf.txtExtracted texttext/plain51288https://repositorio.ufba.br/bitstream/ri/7317/3/displayFulltext.pdf.txtf030b63f8fbf3f22f11972910ebc5273MD53ri/73172022-07-05 14:03:19.691oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:19Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Lyapunov exponents and rates of mixing for one-dimensional maps
dc.title.alternative.pt_BR.fl_str_mv Ergodic theory and dynamical systems
title Lyapunov exponents and rates of mixing for one-dimensional maps
spellingShingle Lyapunov exponents and rates of mixing for one-dimensional maps
Alves, José Ferreira
title_short Lyapunov exponents and rates of mixing for one-dimensional maps
title_full Lyapunov exponents and rates of mixing for one-dimensional maps
title_fullStr Lyapunov exponents and rates of mixing for one-dimensional maps
title_full_unstemmed Lyapunov exponents and rates of mixing for one-dimensional maps
title_sort Lyapunov exponents and rates of mixing for one-dimensional maps
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.637-657
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2012-12-07T13:20:03Z
dc.date.available.fl_str_mv 2012-12-07T13:20:03Z
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/7317
dc.identifier.issn.none.fl_str_mv 0143-3857
dc.identifier.number.pt_BR.fl_str_mv v. 24, n. 3
identifier_str_mv 0143-3857
v. 24, n. 3
url http://www.repositorio.ufba.br/ri/handle/ri/7317
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.source.pt_BR.fl_str_mv http://dx.doi.org/10.1017/S0143385703000579
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/7317/1/displayFulltext.pdf
https://repositorio.ufba.br/bitstream/ri/7317/2/license.txt
https://repositorio.ufba.br/bitstream/ri/7317/3/displayFulltext.pdf.txt
bitstream.checksum.fl_str_mv a0bcfa18453bc6279ecbe05dd73fe6ec
1b89a9a0548218172d7c829f87a0eab9
f030b63f8fbf3f22f11972910ebc5273
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_ 1808459411294781440

Registros relacionados