A class of cubic Rauzy fractals

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidade de São Paulo (USP)
dc.date.accessioned2015-10-21T13:14:40Z
dc.date.available2015-10-21T13:14:40Z
dc.date.created2015-10-21T13:14:40Z
dc.date.issued2015-07-11
dc.identifierTheoretical Computer Science. Amsterdam: Elsevier Science Bv, v. 588, p. 114-130, 2015.
dc.identifier0304-3975
dc.identifierhttp://hdl.handle.net/11449/128863
dc.identifier10.1016/j.tcs.2015.04.007
dc.identifierWOS:000357222400010
dc.identifier2111365241513122
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.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationTheoretical Computer Science
dc.relation0.772
dc.relation0,488
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectRauzy fractals
dc.subjectNumeration system
dc.subjectAutomaton
dc.subjectTopological properties
dc.titleA class of cubic Rauzy fractals
dc.typeArtículos de revistas


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