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Weak mixing and eigenvalues for arnoux-rauzy sequences

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dc.contributor.authorCassaigne, Julien
dc.contributor.authorFerenczi, Sébastien
dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.institutionCNRS-UMR 6206
dc.contributor.institutionCNRS-FR 2291
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:23:50Z
dc.date.available2014-05-27T11:23:50Z
dc.date.issued2008-12-08
dc.description.abstractWe define by simple conditions two wide subclasses of the socalled Arnoux-Rauzy systems; the elements of the first one share the property of (measure-theoretic) weak mixing, thus we generalize and improve a counterexample to the conjecture that these systems are codings of rotations; those of the second one have eigenvalues, which was known hitherto only for a very small set of examples.en
dc.description.affiliationInstitut de Mathématiques de Luminy CNRS-UMR 6206, Case 907, 163 av. de Luminy, 13288 Marseille Cedex 9
dc.description.affiliationFédération de Recherche Unités de Mathématiques de Marseille CNRS-FR 2291
dc.description.affiliationUNESP-Universidade Estadual Paulista, Rua Cristovo Colombo, 2265 Jardim Nazareth, 15054-000 São José do Rio Preto, SP
dc.description.affiliationUnespUNESP-Universidade Estadual Paulista, Rua Cristovo Colombo, 2265 Jardim Nazareth, 15054-000 São José do Rio Preto, SP
dc.format.extent1983-2005
dc.identifierhttp://dx.doi.org/10.5802/aif.2403
dc.identifier.citationAnnales de l'Institut Fourier, v. 58, n. 6, p. 1983-2005, 2008.
dc.identifier.doi10.5802/aif.2403
dc.identifier.issn0373-0956
dc.identifier.lattes2111365241513122
dc.identifier.scopus2-s2.0-57049153521
dc.identifier.urihttp://hdl.handle.net/11449/70866
dc.language.isoeng
dc.relation.ispartofAnnales de l'Institut Fourier
dc.relation.ispartofjcr0.638
dc.relation.ispartofsjr1,703
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectComplexity
dc.subjectEigenvalues
dc.subjectSymbolic dynamics
dc.titleWeak mixing and eigenvalues for arnoux-rauzy sequencesen
dc.typeArtigo
dcterms.licensehttp://aif.cedram.org/spip.php?rubrique12&lang=en
dspace.entity.typePublication
unesp.author.lattes2111365241513122[3]
unesp.author.orcid0000-0003-1703-9414[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas