Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum

Detalhes bibliográficos
Autor(a) principal: Bessa, Mário
Data de Publicação: 2014
Outros Autores: Vilarinho, Helder
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/13842
Resumo: In this paper we prove that the class of accessible and saddle-conservative cocycles (a wide class which includes cocycles evolving in GL(d,R), SL(d,R) and Sp(d,R)) Lp-densely have a simple spectrum. We also prove that for an Lp-residual subset of accessible cocycles we have a one-point spectrum. Finally, we show that the linear differential system versions of previous results also hold and give some applications.
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spelling Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrumLinear cocyclesLinear differential systemsMultiplicative ergodic theoremLyapunov exponentsIn this paper we prove that the class of accessible and saddle-conservative cocycles (a wide class which includes cocycles evolving in GL(d,R), SL(d,R) and Sp(d,R)) Lp-densely have a simple spectrum. We also prove that for an Lp-residual subset of accessible cocycles we have a one-point spectrum. Finally, we show that the linear differential system versions of previous results also hold and give some applications.ElsevierRepositório AbertoBessa, MárioVilarinho, Helder2023-05-25T11:03:42Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13842engM. Bessa, H. Vilarinho, Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum, 256, 7, 2337-2367, 20140022-039610.1016/j.jde.2014.01.003info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:46:11Zoai:repositorioaberto.uab.pt:10400.2/13842Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:52:47.204873Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
title Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
spellingShingle Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
Bessa, Mário
Linear cocycles
Linear differential systems
Multiplicative ergodic theorem
Lyapunov exponents
title_short Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
title_full Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
title_fullStr Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
title_full_unstemmed Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
title_sort Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
author Bessa, Mário
author_facet Bessa, Mário
Vilarinho, Helder
author_role author
author2 Vilarinho, Helder
author2_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Bessa, Mário
Vilarinho, Helder
dc.subject.por.fl_str_mv Linear cocycles
Linear differential systems
Multiplicative ergodic theorem
Lyapunov exponents
topic Linear cocycles
Linear differential systems
Multiplicative ergodic theorem
Lyapunov exponents
description In this paper we prove that the class of accessible and saddle-conservative cocycles (a wide class which includes cocycles evolving in GL(d,R), SL(d,R) and Sp(d,R)) Lp-densely have a simple spectrum. We also prove that for an Lp-residual subset of accessible cocycles we have a one-point spectrum. Finally, we show that the linear differential system versions of previous results also hold and give some applications.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2023-05-25T11:03:42Z
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://hdl.handle.net/10400.2/13842
url http://hdl.handle.net/10400.2/13842
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv M. Bessa, H. Vilarinho, Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum, 256, 7, 2337-2367, 2014
0022-0396
10.1016/j.jde.2014.01.003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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