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

dc.contributorUniv Rouen
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:02:51Z
dc.date.available2014-05-20T14:02:51Z
dc.date.created2014-05-20T14:02:51Z
dc.date.issued2012-01-01
dc.identifierFundamenta Mathematicae. Warsaw 10: Polish Acad Sciences Inst Mathematics, v. 218, n. 1, p. 47-68, 2012.
dc.identifier0016-2736
dc.identifierhttp://hdl.handle.net/11449/22139
dc.identifier10.4064/fm218-1-3
dc.identifierWOS:000310111100003
dc.identifier2111365241513122
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.
dc.languageeng
dc.publisherPolish Acad Sciences Inst Mathematics
dc.relationFundamenta Mathematicae
dc.relation0.561
dc.relation0,718
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectMarkov operator
dc.subjectMarkov process
dc.subjectTransition operator
dc.subjectstochastic perturbations of the shift
dc.subjectStochastic adding machine
dc.subjectJulia set
dc.subjectresidual spectrum
dc.subjectcontinuous spectrum
dc.titleOn the spectrum of stochastic perturbations of the shift and Julia sets
dc.typeArtículos de revistas


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