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dc.contributor.authorPrado, Roberto A. [UNESP]
dc.contributor.authorCharao, Ruy C.
dc.date.accessioned2019-10-04T12:36:48Z
dc.date.available2019-10-04T12:36:48Z
dc.date.issued2019-04-01
dc.identifier.citationOsaka Journal Of Mathematics. Toyonaka: Osaka Journal Of Mathematics, v. 56, n. 2, p. 391-416, 2019.
dc.identifier.issn0030-6126
dc.identifier.urihttp://hdl.handle.net/11449/185591
dc.description.abstractWe establish invariants for the trace map associated to a family of 1D discrete Dirac operators with Sturmian potentials. Using these invariants we prove that the operators have purely singular continuous spectrum of zero Lebesgue measure, uniformly on the mass and parameters that define the potentials. For rotation numbers of bounded density we prove that these Dirac operators have purely alpha-continuous spectrum, as to the Schrodinger case, for some alpha is an element of (0, 1). To the Sturmian Schrodinger and Dirac models we establish a comparison between invariants of the trace maps, which allows to compare the numbers alpha's and lower bounds on transport exponents.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent391-416
dc.language.isoeng
dc.publisherOsaka Journal Of Mathematics
dc.relation.ispartofOsaka Journal Of Mathematics
dc.sourceWeb of Science
dc.titleINVARIANTS OF THE TRACE MAP AND UNIFORM SPECTRAL PROPERTIES FOR DISCRETE STURMIAN DIRAC OPERATORSen
dc.typeArtigo
dcterms.rightsHolderOsaka Journal Of Mathematics
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade Federal de Santa Catarina (UFSC)
dc.description.affiliationUniv Estadual Paulista, Dept Math & Comp Sci, UNESP, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniv Fed Santa Catarina, Dept Math, UFSC, BR-88040900 Florianopolis, SC, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Math & Comp Sci, UNESP, BR-19060900 Presidente Prudente, SP, Brazil
dc.identifier.wosWOS:000463159600011
dc.rights.accessRightsAcesso restrito
dc.description.sponsorshipIdCNPq: 157873/2015-3
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