Publicação:
Tilings induced by a class of cubic Rauzy fractals

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dc.contributor.authorLoridant, B.
dc.contributor.authorMessaoudi, A. [UNESP]
dc.contributor.authorSurer, P. [UNESP]
dc.contributor.authorThuswaldner, J. M.
dc.contributor.institutionLehrstuhl für Mathematik und Statistik
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:28:40Z
dc.date.available2014-05-27T11:28:40Z
dc.date.issued2013-03-18
dc.description.abstractWe study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles associated with beta-substitutions related to the polynomial x3-ax2-bx-1 for a≥b≥1. In particular, we compute the corresponding boundary graphs, describing the adjacencies in the tilings. These graphs are a valuable tool for more advanced studies of the topological properties of the Rauzy fractals. As an example, we show that the Rauzy fractals are not homeomorphic to a closed disc as soon as a≤2b-4. The methods presented in this paper may be used to obtain similar results for other classes of substitutions.© 2012 Elsevier B.V. All rights reserved.en
dc.description.affiliationMontanuniversität Leoben Lehrstuhl für Mathematik und Statistik, Franz-Josef-Strasse 18, 8700 Leoben
dc.description.affiliationDepartamento de Matemática IBILCE UNESP, São José do Rio Preto
dc.description.affiliationMontanuniversität Leoben Lehrstuhl für Mathematik und Statistik, Leoben
dc.description.affiliationUnespDepartamento de Matemática IBILCE UNESP, São José do Rio Preto
dc.format.extent6-31
dc.identifierhttp://dx.doi.org/10.1016/j.tcs.2012.12.019
dc.identifier.citationTheoretical Computer Science, v. 477, p. 6-31.
dc.identifier.doi10.1016/j.tcs.2012.12.019
dc.identifier.issn0304-3975
dc.identifier.lattes2111365241513122
dc.identifier.scopus2-s2.0-84875220140
dc.identifier.urihttp://hdl.handle.net/11449/74844
dc.identifier.wosWOS:000316424700002
dc.language.isoeng
dc.relation.ispartofTheoretical Computer Science
dc.relation.ispartofjcr0.772
dc.relation.ispartofsjr0,488
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectLattice tiling
dc.subjectRauzy fractal
dc.subjectSelf-replicating tiling
dc.subjectSubstitution
dc.subjectHomeomorphic
dc.subjectRauzy fractals
dc.subjectTopological properties
dc.subjectSubstitution reactions
dc.subjectTopology
dc.subjectFractals
dc.titleTilings induced by a class of cubic Rauzy fractalsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
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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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas