Euclidean self-similar sets generated by geometrically independent sets

被引：2
作者：
Chiang, Y. [1 ]
Wang, Y. S. [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 12期
关键词：
iterated function systems; attractors; self-similar sets;
D O I：
10.1016/j.topol.2007.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For every integer n > 0, we consider all iterated function systems generated by n + 1 Euclidean similarities acting on R-n whose fixed points form the set of vertices of an n-simplex, and characterize the nature of attractors of such iterated function systems in terms of contractivity factors of their generators. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2376 / 2390
页数：15
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