Boundary of the rauzy fractal sets in R x C generated by P(x)=x(4)-x(3)-x(2)-x-1
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/06/2011
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Resumo |
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. |
Formato |
471-496 |
Identificador |
http://www.math.sci.osaka-u.ac.jp/ojm/contents.html#48-2 Osaka Journal of Mathematics. Toyonaka: Osaka Journal of Mathematics, v. 48, n. 2, p. 471-496, 2011. 0030-6126 http://hdl.handle.net/11449/22152 WOS:000294971200009 |
Idioma(s) |
eng |
Publicador |
Osaka Journal of Mathematics |
Relação |
Osaka Journal of Mathematics |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |