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A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles

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Resumo:We study the geometry of the action of SL(2, R) on the projective line in order to present a new and simpler proof of the Herman-Avila-Bochi formula. This formula gives the average Lyapunov exponent of a class of 1-families of SL(2, R)-cocycles.
Autores principais:Baraviera, Alexandre T.
Outros Autores:Dias, João Lopes; Duarte, Pedro
Assunto:Herman-Avila-Bochi Formula Lyapunov Exponents
Ano:2011
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa
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author Baraviera, Alexandre T.
author2 Dias, João Lopes
Duarte, Pedro
author2_role author
author
author_facet Baraviera, Alexandre T.
Dias, João Lopes
Duarte, Pedro
author_role author
contributor_name_str_mv Repositório Científico de Acesso Aberto da ULisboa
country_str PT
creators_json_txt [{\"Person.name\":\"Baraviera, Alexandre T.\"},{\"Person.name\":\"Dias, João Lopes\"},{\"Person.name\":\"Duarte, Pedro\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
datacite.creators.creator.creatorName.fl_str_mv Baraviera, Alexandre T.
Dias, João Lopes
Duarte, Pedro
datacite.date.Accepted.fl_str_mv 2011-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2023-10-10T17:13:09Z
datacite.date.embargoed.fl_str_mv 2023-10-10T17:13:09Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_16ec
datacite.subjects.subject.fl_str_mv Herman-Avila-Bochi Formula
Lyapunov Exponents
datacite.titles.title.fl_str_mv A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
dc.contributor.none.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
dc.creator.none.fl_str_mv Baraviera, Alexandre T.
Dias, João Lopes
Duarte, Pedro
dc.date.Accepted.fl_str_mv 2011-01-01T00:00:00Z
dc.date.available.fl_str_mv 2023-10-10T17:13:09Z
dc.date.embargoed.fl_str_mv 2023-10-10T17:13:09Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10400.5/28950
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv London Mathematical Society
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.subject.none.fl_str_mv Herman-Avila-Bochi Formula
Lyapunov Exponents
dc.title.fl_str_mv A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description We study the geometry of the action of SL(2, R) on the projective line in order to present a new and simpler proof of the Herman-Avila-Bochi formula. This formula gives the average Lyapunov exponent of a class of 1-families of SL(2, R)-cocycles.
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eu_rights_str_mv restrictedAccess
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fulltext.url.fl_str_mv https://repositorio.ulisboa.pt/bitstreams/bacb0bc9-cfdb-48b6-a5a7-ec5b9fd96f6e/download
id ul_20f2d643cb4dc875e435fcd3e2ef9081
identifier.url.fl_str_mv http://hdl.handle.net/10400.5/28950
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institution Universidade de Lisboa
instname_str Universidade de Lisboa
language eng
network_acronym_str ul
network_name_str Repositório da Universidade de Lisboa
oai_identifier_str oai:repositorio.ulisboa.pt:10400.5/28950
organization_str_mv urn:organizationAcronym:ul
person_str_mv Baraviera, Alexandre T.
Dias, João Lopes
Duarte, Pedro
publishDate 2011
publisher.none.fl_str_mv London Mathematical Society
reponame_str Repositório da Universidade de Lisboa
repository_id_str urn:repositoryAcronym:ul
service_str_mv urn:repositoryAcronym:ul
spelling engLondon Mathematical Societypt_PTWe study the geometry of the action of SL(2, R) on the projective line in order to present a new and simpler proof of the Herman-Avila-Bochi formula. This formula gives the average Lyapunov exponent of a class of 1-families of SL(2, R)-cocycles.application/pdfpt_PTA new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocyclesBaraviera, Alexandre T.Dias, João LopesDuarte, PedroHostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.ptDOIIsPartOf10.1088/0951-7715/24/9/0042023-10-10T17:13:09Z20112011-01-01T00:00:00ZHandlehttp://hdl.handle.net/10400.5/28950http://purl.org/coar/access_right/c_16ecrestricted accessHerman-Avila-Bochi FormulaLyapunov Exponents581149 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/bacb0bc9-cfdb-48b6-a5a7-ec5b9fd96f6e/download
spellingShingle A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
Baraviera, Alexandre T.
Herman-Avila-Bochi Formula
Lyapunov Exponents
status SINGLETON
subject.fl_str_mv Herman-Avila-Bochi Formula
Lyapunov Exponents
title A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
title_full A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
title_fullStr A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
title_full_unstemmed A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
title_short A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
title_sort A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents OF SL(2, R)-cocycles
topic Herman-Avila-Bochi Formula
Lyapunov Exponents
topic_facet Herman-Avila-Bochi Formula
Lyapunov Exponents
url http://hdl.handle.net/10400.5/28950
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