A class of cubic Rauzy fractals
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Data
2015-07-11
Autores
Bastos, J. [UNESP]
Messaoudi, A. [UNESP]
Rodrigues, T. [UNESP]
Smania, D.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
In 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.
Descrição
Palavras-chave
Rauzy fractals, Numeration system, Automaton, Topological properties
Como citar
Theoretical Computer Science. Amsterdam: Elsevier Science Bv, v. 588, p. 114-130, 2015.