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

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dc.contributor.authorBessa, Mário
dc.contributor.authorVilarinho, Helder
dc.date.accessioned2023-05-25T11:03:42Z
dc.date.available2023-05-25T11:03:42Z
dc.date.issued2014
dc.description.abstractIn 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, H. Vilarinho, Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum, 256, 7, 2337-2367, 2014pt_PT
dc.identifier.doi10.1016/j.jde.2014.01.003pt_PT
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/10400.2/13842
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationStrategic Project - UI 212 - 2011-2012
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022039614000047pt_PT
dc.subjectLinear cocyclespt_PT
dc.subjectLinear differential systemspt_PT
dc.subjectMultiplicative ergodic theorempt_PT
dc.subjectLyapunov exponentspt_PT
dc.titleFine properties of Lp-cocycles which allow abundance of simple and trivial spectrumpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT
oaire.citation.endPage2367pt_PT
oaire.citation.issue7pt_PT
oaire.citation.startPage2337pt_PT
oaire.citation.titleJournal of Differential Equationspt_PT
oaire.citation.volume256pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.familyNameSoares Vilarinho
person.givenNameMário
person.givenNameHélder
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id031A-911B-26F5
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-9822-5341
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublicationcf085d2d-c18f-4a07-b2d7-7a2334cf8e37
relation.isAuthorOfPublication.latestForDiscovery2dd300f3-9f00-49de-9333-78ec0511220e
relation.isProjectOfPublication1e36eb38-7705-4d8c-ab90-7a3f7c5db571
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