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The Lyapunov exponents of generic skew-product compact semiflows

dc.contributor.authorBessa, Mário
dc.contributor.authorCarvalho, Glória Ferreira
dc.date.accessioned2023-05-25T11:58:29Z
dc.date.available2023-05-25T11:58:29Z
dc.date.issued2019
dc.description.abstractLet F_K denote the set of infinite-dimensional cocycles over a μ-ergodic flow φ^t : M → M and with fiber dynamics given by a compact semiflow on a Hilbert space. We prove that there exists a residual subset R of F_K such that for 􏰤 φ ∈ R and for μ-almost every x ∈ M, either: (i) the limit operator lim (φ^t(x)^*φ^t(x))^(1/2t) when t→∞ is the null operator or else (ii) the Oseledets–Ruelle splitting of 􏰤 along the φ^t -orbit of x has a dominated splitting.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, G. Carvalho, The Lyapunov exponents of generic skew-product compact semiflows, Journal of Evolution Equations, 19, 2, 387-409, 2019pt_PT
dc.identifier.doi10.1007/s00028-019-00479-8pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13846
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationCenter of Mathematics and Applications of University of Beira Interior
dc.relationASSYMPTOTIC BEHAVIOR OF SKEW-PRODUCT SEMIFLOWS
dc.titleThe Lyapunov exponents of generic skew-product compact semiflowspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior
oaire.awardTitleASSYMPTOTIC BEHAVIOR OF SKEW-PRODUCT SEMIFLOWS
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00212%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBD%2F75746%2F2011/PT
oaire.citation.endPage409pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage387pt_PT
oaire.citation.titleJournal of Evolution Equationspt_PT
oaire.citation.volume19pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameBessa
person.givenNameMário
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.orcid0000-0002-1758-2225
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscovery2dd300f3-9f00-49de-9333-78ec0511220e
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