Boundary of the rauzy fractal sets in R x C generated by P(x)=x(4)-x(3)-x(2)-x-1
Nenhuma Miniatura disponível
Data
2011-06-01
Autores
Durand, Fabien
Messaoudi, Ali [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Osaka Journal of Mathematics
Resumo
We study the boundary of the 3-dimensional Rauzy fractal epsilon subset of R x C generated by the polynomial P(x) = x(4)-x(3)-x(2)-x-1. The finite automaton characterizing the boundary of epsilon is given explicitly. As a consequence we prove that the set epsilon has 18 neighboors where 6 of them intersect the central tile epsilon in a point. Our construction shows that the boundary is generated by an iterated function system starting with 2 compact sets.
Descrição
Palavras-chave
Como citar
Osaka Journal of Mathematics. Toyonaka: Osaka Journal of Mathematics, v. 48, n. 2, p. 471-496, 2011.