Parametrization for a class of rauzy fractals

dc.contributor.authorBastos, J. [UNESP]
dc.contributor.authorRodrigues de Souza, T. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2019-10-06T15:32:08Z
dc.date.available2019-10-06T15:32:08Z
dc.date.issued2019-01-01
dc.description.abstractIn this paper, we study a class of Rauzy fractals Ra given by the polynomial x3 − ax2 + x − 1 where a ≥ 2 is an integer. In particular, we give explicitly an automaton that generates the boundary of Ra and using an unusual numeration system we prove that Ra is homeomorphic to a topological disk.en
dc.description.affiliationDepartamento de Matemática UNESP-Universidade Estadual Paulista Rua Cristóvão Colombo, 2265 Jardim Nazareth
dc.description.affiliationDepartamento de Matemática UNESP-Universidade Estadual Paulista, AV. Eng. Luiz Ed. Carrijo Coube, 14–01 Vargem Limpa
dc.description.affiliationUnespDepartamento de Matemática UNESP-Universidade Estadual Paulista Rua Cristóvão Colombo, 2265 Jardim Nazareth
dc.description.affiliationUnespDepartamento de Matemática UNESP-Universidade Estadual Paulista, AV. Eng. Luiz Ed. Carrijo Coube, 14–01 Vargem Limpa
dc.format.extent101-122
dc.identifier.citationOsaka Journal of Mathematics, v. 56, n. 1, p. 101-122, 2019.
dc.identifier.issn0030-6126
dc.identifier.scopus2-s2.0-85060812295
dc.identifier.urihttp://hdl.handle.net/11449/187307
dc.language.isoeng
dc.relation.ispartofOsaka Journal of Mathematics
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleParametrization for a class of rauzy fractalsen
dc.typeArtigo

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