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On the spectrum of stochastic perturbations of the shift and Julia sets

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dc.contributor.authorel Abdalaoui, el Houcein
dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.institutionUniv Rouen
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:02:51Z
dc.date.available2014-05-20T14:02:51Z
dc.date.issued2012-01-01
dc.description.abstractWe extend the Killeen-Taylor study [Nonlinearity 13 (2000)] by investigating in different Banach spaces (l(alpha)(N), c(0)(N),c(N)) the point, continuous and residual spectra of stochastic perturbations of the shift operator associated to the stochastic adding machine in base 2 and in the Fibonacci base. For the base 2, the spectra are connected to the Julia set of a quadratic map. In the Fibonacci case, the spectrum is related to the Julia set of an endomorphism of C-2.en
dc.description.affiliationUniv Rouen, LMRS, UMR 60 85, Dept Math, F-76801 St Etienne, France
dc.description.affiliationIBILCE UNESP, Dept Matemat, BR-15054000 Sao Jose de Rio Preto, SP, Brazil
dc.description.affiliationUnespIBILCE UNESP, Dept Matemat, BR-15054000 Sao Jose de Rio Preto, SP, Brazil
dc.description.sponsorshipCentre national de la recherche scientifique (CNRS)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCAPES: 661/10
dc.description.sponsorshipIdCNPq: 305043/2006-4
dc.description.sponsorshipIdFAPESP: 11/23199-1
dc.format.extent47-68
dc.identifierhttp://dx.doi.org/10.4064/fm218-1-3
dc.identifier.citationFundamenta Mathematicae. Warsaw 10: Polish Acad Sciences Inst Mathematics, v. 218, n. 1, p. 47-68, 2012.
dc.identifier.doi10.4064/fm218-1-3
dc.identifier.issn0016-2736
dc.identifier.lattes2111365241513122
dc.identifier.urihttp://hdl.handle.net/11449/22139
dc.identifier.wosWOS:000310111100003
dc.language.isoeng
dc.publisherPolish Acad Sciences Inst Mathematics
dc.relation.ispartofFundamenta Mathematicae
dc.relation.ispartofjcr0.561
dc.relation.ispartofsjr0,718
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectMarkov operatoren
dc.subjectMarkov processen
dc.subjectTransition operatoren
dc.subjectstochastic perturbations of the shiften
dc.subjectStochastic adding machineen
dc.subjectJulia seten
dc.subjectresidual spectrumen
dc.subjectcontinuous spectrumen
dc.titleOn the spectrum of stochastic perturbations of the shift and Julia setsen
dc.typeArtigo
dcterms.licensehttp://journals.impan.gov.pl/transfer.pdf
dcterms.rightsHolderPolish Acad Sciences Inst Mathematics
dspace.entity.typePublication
unesp.author.lattes2111365241513122[2]
unesp.author.orcid0000-0003-1703-9414[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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