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Boundary of the rauzy fractal sets in R x C generated by P(x)=x(4)-x(3)-x(2)-x-1

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dc.contributor.authorDurand, Fabien
dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.institutionUniv Picardie Jules Verne
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:02:53Z
dc.date.available2014-05-20T14:02:53Z
dc.date.issued2011-06-01
dc.description.abstractWe study the boundary of the 3-dimensional Rauzy fractal epsilon subset of R x C generated by the polynomial P(x) = x(4)-x(3)-x(2)-x-1. The finite automaton characterizing the boundary of epsilon is given explicitly. As a consequence we prove that the set epsilon has 18 neighboors where 6 of them intersect the central tile epsilon in a point. Our construction shows that the boundary is generated by an iterated function system starting with 2 compact sets.en
dc.description.affiliationUniv Picardie Jules Verne, Lab Amienois Math Fondamentales & Appl, CNRS, UMR 6140, F-80039 Amiens, France
dc.description.affiliationUnesp Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUnespUnesp Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdCNPq: 305043/2006-4
dc.format.extent471-496
dc.identifierhttp://www.math.sci.osaka-u.ac.jp/ojm/contents.html#48-2
dc.identifier.citationOsaka Journal of Mathematics. Toyonaka: Osaka Journal of Mathematics, v. 48, n. 2, p. 471-496, 2011.
dc.identifier.issn0030-6126
dc.identifier.lattes2111365241513122
dc.identifier.urihttp://hdl.handle.net/11449/22152
dc.identifier.wosWOS:000294971200009
dc.language.isoeng
dc.publisherOsaka Journal of Mathematics
dc.relation.ispartofOsaka Journal of Mathematics
dc.relation.ispartofjcr0.491
dc.relation.ispartofsjr0,531
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleBoundary of the rauzy fractal sets in R x C generated by P(x)=x(4)-x(3)-x(2)-x-1en
dc.typeArtigo
dcterms.rightsHolderOsaka Journal of Mathematics
dspace.entity.typePublication
unesp.author.lattes2111365241513122[2]
unesp.author.orcid0000-0003-1703-9414[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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