Continuity of Lyapunov exponents for cocycles with invariant holonomies

Detalhes bibliográficos
Autor(a) principal: Backes, Lucas Henrique
Data de Publicação: 2018
Outros Autores: Brown, Aaron, Butler, Clark
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/182440
Resumo: We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to GL(2,R)-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle.
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spelling Backes, Lucas HenriqueBrown, AaronButler, Clark2018-09-22T03:01:39Z20181930-5311http://hdl.handle.net/10183/182440001077376We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to GL(2,R)-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle.application/pdfengJournal of Modern Dynamics. JMD. Singapura: AIMS, 2018. Vol. 12, (June 2018), p. 261-283Expoentes de LyapunovDinâmicaContinuidadeLyapunov exponentsContinuityNon-uniform hyperbolicityRandom dynamicsLinear cocyclesContinuity of Lyapunov exponents for cocycles with invariant holonomiesEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL001077376.pdfTexto completo (inglês)application/pdf824505http://www.lume.ufrgs.br/bitstream/10183/182440/1/001077376.pdf0a56249190595067af884fd9174e97d2MD51TEXT001077376.pdf.txt001077376.pdf.txtExtracted Texttext/plain95044http://www.lume.ufrgs.br/bitstream/10183/182440/2/001077376.pdf.txt3f3bca2ce89a47e805315c20bfea35e2MD52THUMBNAIL001077376.pdf.jpg001077376.pdf.jpgGenerated Thumbnailimage/jpeg1394http://www.lume.ufrgs.br/bitstream/10183/182440/3/001077376.pdf.jpg4a85be7ae8f6c4644fe5d20725591e53MD5310183/1824402018-10-05 07:54:55.226oai:www.lume.ufrgs.br:10183/182440Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-05T10:54:55Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Continuity of Lyapunov exponents for cocycles with invariant holonomies
title Continuity of Lyapunov exponents for cocycles with invariant holonomies
spellingShingle Continuity of Lyapunov exponents for cocycles with invariant holonomies
Backes, Lucas Henrique
Expoentes de Lyapunov
Dinâmica
Continuidade
Lyapunov exponents
Continuity
Non-uniform hyperbolicity
Random dynamics
Linear cocycles
title_short Continuity of Lyapunov exponents for cocycles with invariant holonomies
title_full Continuity of Lyapunov exponents for cocycles with invariant holonomies
title_fullStr Continuity of Lyapunov exponents for cocycles with invariant holonomies
title_full_unstemmed Continuity of Lyapunov exponents for cocycles with invariant holonomies
title_sort Continuity of Lyapunov exponents for cocycles with invariant holonomies
author Backes, Lucas Henrique
author_facet Backes, Lucas Henrique
Brown, Aaron
Butler, Clark
author_role author
author2 Brown, Aaron
Butler, Clark
author2_role author
author
dc.contributor.author.fl_str_mv Backes, Lucas Henrique
Brown, Aaron
Butler, Clark
dc.subject.por.fl_str_mv Expoentes de Lyapunov
Dinâmica
Continuidade
topic Expoentes de Lyapunov
Dinâmica
Continuidade
Lyapunov exponents
Continuity
Non-uniform hyperbolicity
Random dynamics
Linear cocycles
dc.subject.eng.fl_str_mv Lyapunov exponents
Continuity
Non-uniform hyperbolicity
Random dynamics
Linear cocycles
description We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to GL(2,R)-valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-09-22T03:01:39Z
dc.date.issued.fl_str_mv 2018
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/182440
dc.identifier.issn.pt_BR.fl_str_mv 1930-5311
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url http://hdl.handle.net/10183/182440
dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Journal of Modern Dynamics. JMD. Singapura: AIMS, 2018. Vol. 12, (June 2018), p. 261-283
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