Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | |
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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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 |
repository.mail.fl_str_mv |
|
_version_ |
1799135121769496576 |