Digit sets for connected tiles via similar matrices I: Dilation matrices with rational eigenvalues

Autor:	Laarakker, Avra S., Curry, Eva
Rok vydání:	2010
Předmět:	Mathematics - General Topology 37B50 (Primary) 11A63 15A21 52C22 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Given any m-dimensional dilation matrix A with rational eigenvalues, we demonstrate the existence of a digit set D such that the attractor T(A,D) of the iterated function system generated by A and D is connected. We give an easily verified sufficient condition on A for a specific digit set, which we call the centered canonical digit set for A, to give rise to a connected attractor T(A,D). Comment: 12 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1004.0004 Zobrazit plný text záznamu View this record from Arxiv