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On the Lyapunov spectrum of infinite dimensional random products of compact operators

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dc.contributor.authorBessa, Mário
dc.contributor.authorCarvalho, Maria
dc.date.accessioned2023-05-30T11:03:40Z
dc.date.available2023-05-30T11:03:40Z
dc.date.issued2011
dc.description.abstractWe consider an infinite dimensional separable Hilbert space and its family of compact integrable cocycles over a dynamical system f. Assuming that f acts in a compact Hausdorff space X and preserves a Borel regular ergodic probability which is positive on non-empty open sets, we conclude that there is a C0-residual subset of cocycles within which, for almost every x, either the Oseledets–Ruelle’s decomposition along the orbit of x is dominated or all the Lyapunov exponents are equal to −∞.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, M. Carvalho, On the Lyapunov spectrum of infinite dimensional random products of compact operators, Stochastics and Dynamics, 8, 4, 593-611, 2011pt_PT
dc.identifier.doi10.1142/S0219493708002470pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13902
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWorld Scientificpt_PT
dc.relationABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO
dc.subjectRandom operatorspt_PT
dc.subjectDominated splittingpt_PT
dc.subjectMultiplicative ergodic theorempt_PT
dc.subjectLyapunov exponentspt_PT
dc.titleOn the Lyapunov spectrum of infinite dimensional random products of compact operatorspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/FARH/SFRH%2FBPD%2F20890%2F2004/PT
oaire.citation.endPage611pt_PT
oaire.citation.issue04pt_PT
oaire.citation.startPage593pt_PT
oaire.citation.titleStochastics and Dynamicspt_PT
oaire.citation.volume08pt_PT
oaire.fundingStreamFARH
person.familyNameBessa
person.familyNameCarvalho
person.givenNameMário
person.givenNameMaria
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-id361B-4DA8-0A98
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0001-6929-6442
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication2dd300f3-9f00-49de-9333-78ec0511220e
relation.isAuthorOfPublicationfe6b5e6d-278a-4767-9c63-ff218187bca3
relation.isAuthorOfPublication.latestForDiscovery2dd300f3-9f00-49de-9333-78ec0511220e
relation.isProjectOfPublication70c66b47-c078-45c2-aeb0-54e54cd1a24e
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