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

页码：2376 / 2390

页数：15

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