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Positivity of the top lyapunov exponent for cocycles on semisimple lie groups over hyperbolic bases

dc.contributor.authorBessa, Mário
dc.contributor.authorBochi, Jairo
dc.contributor.authorCambrainha, Michel
dc.contributor.authorMatheus, Carlos
dc.contributor.authorVarandas, Paulo
dc.contributor.authorXu, Disheng
dc.date.accessioned2023-05-24T09:08:17Z
dc.date.available2023-05-24T09:08:17Z
dc.date.issued2017
dc.description.abstractA theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group.pt_PT
dc.description.sponsorshipBessa is partially supported by FCT—‘Fundação para a Ciência e a Tecnologia’, through Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, project UID/MAT/00212/2013. Bochi is partially supported by project Fondecyt 1140202 (Chile). Varandas is partially supported by CNPq-Brazil.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBessa, M., Bochi, J., Cambrainha, M. et al. Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases. Bull Braz Math Soc, New Series 49, 73–87 (2018)pt_PT
dc.identifier.doi10.1007/s00574-017-0048-6pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13817
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationCenter of Mathematics and Applications of University of Beira Interior
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00574-017-0048-6pt_PT
dc.titlePositivity of the top lyapunov exponent for cocycles on semisimple lie groups over hyperbolic basespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT
oaire.citation.endPage87pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage73pt_PT
oaire.citation.titleBulletin of the Brazilian Mathematical Society, New Seriespt_PT
oaire.citation.volume49pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.familyNameBochi
person.familyNameCambrainha
person.familyNameRodrigues Pinto Varandas
person.givenNameMário
person.givenNameJairo
person.givenNameMichel
person.givenNamePaulo César
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id0C1A-DC54-F959
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0003-2833-9957
person.identifier.orcid0000-0002-3552-2488
person.identifier.orcid0000-0002-0902-8718
person.identifier.ridG-2223-2012
person.identifier.scopus-author-id11239787100
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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