Ergodic properties of triangle partitions

dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.authorNogueira, Arnaldo
dc.contributor.authorSchweiger, Fritz
dc.contributor.institutionSalzburg Univ
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInst Math Luminy
dc.date.accessioned2014-05-20T14:02:54Z
dc.date.available2014-05-20T14:02:54Z
dc.date.issued2009-07-01
dc.description.abstractWe study the ergodic properties of a map called the Triangle Sequence. We prove that the algorithm is weakly convergent almost surely, and ergodic. As far as we know, it is the first example of a 2-dimensional algorithm where a surprising diophantine phenomenon happens: there are sequences of nested cells whose intersection is a segment, although no vertex is fixed. Examples of n-dimensional algorithms presenting this behavior were known for n >= 3.en
dc.description.affiliationSalzburg Univ, Fachbereich Math, A-5020 Salzburg, Austria
dc.description.affiliationUNESP, Dept Matemat, BR-15054000 Sao Jose do RioPreto, SP, Brazil
dc.description.affiliationInst Math Luminy, F-13288 Marseille, France
dc.description.affiliationUnespUNESP, Dept Matemat, BR-15054000 Sao Jose do RioPreto, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipIdCNPq: 481406/2004-2
dc.description.sponsorshipIdCNPq: 302298/2003-7
dc.description.sponsorshipIdFUNDUNESP: 00592/06-DF
dc.format.extent283-299
dc.identifierhttp://dx.doi.org/10.1007/s00605-008-0065-z
dc.identifier.citationMonatshefte Fur Mathematik. Wien: Springer Wien, v. 157, n. 3, p. 283-299, 2009.
dc.identifier.doi10.1007/s00605-008-0065-z
dc.identifier.issn0026-9255
dc.identifier.lattes2111365241513122
dc.identifier.urihttp://hdl.handle.net/11449/22160
dc.identifier.wosWOS:000266830800007
dc.language.isoeng
dc.publisherSpringer Wien
dc.relation.ispartofMonatshefte Fur Mathematik
dc.relation.ispartofjcr0.735
dc.relation.ispartofsjr0,773
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectErgodic theoryen
dc.subjectInvariant measuresen
dc.titleErgodic properties of triangle partitionsen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer Wien
unesp.author.lattes2111365241513122[1]
unesp.author.orcid0000-0003-1703-9414[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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