Weak mixing and eigenvalues for arnoux-rauzy sequences

Detalhes bibliográficos
Autor(a) principal: Cassaigne, Julien
Data de Publicação: 2008
Outros Autores: Ferenczi, Sébastien, Messaoudi, Ali [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5802/aif.2403
http://hdl.handle.net/11449/70866
Resumo: We 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.
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spelling Weak mixing and eigenvalues for arnoux-rauzy sequencesComplexityEigenvaluesSymbolic dynamicsWe 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.Institut de Mathématiques de Luminy CNRS-UMR 6206, Case 907, 163 av. de Luminy, 13288 Marseille Cedex 9Fédération de Recherche Unités de Mathématiques de Marseille CNRS-FR 2291UNESP-Universidade Estadual Paulista, Rua Cristovo Colombo, 2265 Jardim Nazareth, 15054-000 São José do Rio Preto, SPUNESP-Universidade Estadual Paulista, Rua Cristovo Colombo, 2265 Jardim Nazareth, 15054-000 São José do Rio Preto, SPCNRS-UMR 6206CNRS-FR 2291Universidade Estadual Paulista (Unesp)Cassaigne, JulienFerenczi, SébastienMessaoudi, Ali [UNESP]2014-05-27T11:23:50Z2014-05-27T11:23:50Z2008-12-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1983-2005http://dx.doi.org/10.5802/aif.2403Annales de l'Institut Fourier, v. 58, n. 6, p. 1983-2005, 2008.0373-0956http://hdl.handle.net/11449/7086610.5802/aif.24032-s2.0-570491535212111365241513122Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAnnales de l'Institut Fourier0.6381,703info:eu-repo/semantics/openAccess2021-10-23T11:43:28Zoai:repositorio.unesp.br:11449/70866Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:11:40.399741Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Weak mixing and eigenvalues for arnoux-rauzy sequences
title Weak mixing and eigenvalues for arnoux-rauzy sequences
spellingShingle Weak mixing and eigenvalues for arnoux-rauzy sequences
Cassaigne, Julien
Complexity
Eigenvalues
Symbolic dynamics
title_short Weak mixing and eigenvalues for arnoux-rauzy sequences
title_full Weak mixing and eigenvalues for arnoux-rauzy sequences
title_fullStr Weak mixing and eigenvalues for arnoux-rauzy sequences
title_full_unstemmed Weak mixing and eigenvalues for arnoux-rauzy sequences
title_sort Weak mixing and eigenvalues for arnoux-rauzy sequences
author Cassaigne, Julien
author_facet Cassaigne, Julien
Ferenczi, Sébastien
Messaoudi, Ali [UNESP]
author_role author
author2 Ferenczi, Sébastien
Messaoudi, Ali [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv CNRS-UMR 6206
CNRS-FR 2291
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Cassaigne, Julien
Ferenczi, Sébastien
Messaoudi, Ali [UNESP]
dc.subject.por.fl_str_mv Complexity
Eigenvalues
Symbolic dynamics
topic Complexity
Eigenvalues
Symbolic dynamics
description We 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.
publishDate 2008
dc.date.none.fl_str_mv 2008-12-08
2014-05-27T11:23:50Z
2014-05-27T11:23:50Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.5802/aif.2403
Annales de l'Institut Fourier, v. 58, n. 6, p. 1983-2005, 2008.
0373-0956
http://hdl.handle.net/11449/70866
10.5802/aif.2403
2-s2.0-57049153521
2111365241513122
url http://dx.doi.org/10.5802/aif.2403
http://hdl.handle.net/11449/70866
identifier_str_mv Annales de l'Institut Fourier, v. 58, n. 6, p. 1983-2005, 2008.
0373-0956
10.5802/aif.2403
2-s2.0-57049153521
2111365241513122
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Annales de l'Institut Fourier
0.638
1,703
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1983-2005
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129593918357504

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