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A class of cubic Rauzy fractals

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dc.contributor.authorBastos, J. [UNESP]
dc.contributor.authorMessaoudi, A. [UNESP]
dc.contributor.authorRodrigues, T. [UNESP]
dc.contributor.authorSmania, D.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2015-10-21T13:14:40Z
dc.date.available2015-10-21T13:14:40Z
dc.date.issued2015-07-11
dc.description.abstractIn this paper, we study arithmetical and topological properties for a class of Rauzy fractals R-a given by the polynomial x(3) - ax(2) + x - 1 where a >= 2 is an integer. In particular, we prove the number of neighbors of R-a in the periodic tiling is equal to 8. We also give explicitly an automaton that generates the boundary of R-a. As a consequence, we prove that R-2 is homeomorphic to a topological disk.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP) - Departamento de Matemática,Rua Cristóvão Colombo, 2265, Jardim Nazareth, 15054-000, São José do Rio Preto, SP, Brazil
dc.description.affiliationUniversidade Estadual Paulista (UNESP) - Departamento de Matemática, AV. Eng. Luiz Ed. Carrijo Coube, 14-01, Vargem Limpa, 17033-360, Bauru, SP, Brazil
dc.description.affiliationDepartamento de Matemática, ICMC-USP, Avenida do Trabalhador São Carlense, 400, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) - Departamento de Matemática,Rua Cristóvão Colombo, 2265, Jardim Nazareth, 15054-000, São José do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) - Departamento de Matemática, AV. Eng. Luiz Ed. Carrijo Coube, 14-01, Vargem Limpa, 17033-360, Bauru, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCNPq: 305939/2009-2
dc.description.sponsorshipIdFAPESP: 2013/24541-0
dc.description.sponsorshipIdFAPESP: 2008/02841-4
dc.description.sponsorshipIdFAPESP: 2010108654-1
dc.description.sponsorshipIdCNPq: 303669/2009-8
dc.description.sponsorshipIdCNPq: 305537/2012-1
dc.format.extent114-130
dc.identifierhttp://www.sciencedirect.com/science/article/pii/S030439751500314X
dc.identifier.citationTheoretical Computer Science. Amsterdam: Elsevier Science Bv, v. 588, p. 114-130, 2015.
dc.identifier.dimensionspub.1052219241
dc.identifier.doi10.1016/j.tcs.2015.04.007
dc.identifier.issn0304-3975
dc.identifier.issn1879-2294
dc.identifier.lattes2111365241513122
dc.identifier.orcid0000-0002-6791-8786
dc.identifier.orcid0000-0002-3025-1295
dc.identifier.orcid0000-0003-1703-9414
dc.identifier.urihttp://hdl.handle.net/11449/128863
dc.identifier.wosWOS:000357222400010
dc.language.isoeng
dc.publisherElsevier B.V.
dc.publisherElsevier
dc.relation.ispartofTheoretical Computer Science
dc.relation.ispartofjcr0.772
dc.relation.ispartofsjr0,488
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.sourceDimensions
dc.subjectRauzy fractalsen
dc.subjectNumeration systemen
dc.subjectAutomatonen
dc.subjectTopological propertiesen
dc.titleA class of cubic Rauzy fractalsen
dc.typeArtigopt
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
relation.isDepartmentOfPublication18e8c821-be4c-44c8-b1ef-866dfd04a2ae
relation.isDepartmentOfPublication.latestForDiscovery18e8c821-be4c-44c8-b1ef-866dfd04a2ae
relation.isOrgUnitOfPublicationaef1f5df-a00f-45f4-b366-6926b097829b
relation.isOrgUnitOfPublication43c38943-bd6f-4fb6-a9a5-8482a1f632c0
relation.isOrgUnitOfPublication.latestForDiscoveryaef1f5df-a00f-45f4-b366-6926b097829b
unesp.author.lattes2111365241513122[2]
unesp.author.orcid0000-0002-3025-1295[4]
unesp.author.orcid0000-0003-1703-9414[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências, Baurupt
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - FCpt
unesp.departmentMatemática - IBILCEpt

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