Alternative characterization of hyperbolic affine infinite iterated function systems

被引：16
|
作者：
Miculescu, Radu [1 ]
Mihail, Alexandru [1 ]
机构：
[1] Univ Bucharest, Fac Math & Comp Sci, Bucharest 010014, Romania
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 407卷 / 01期
关键词：
Affine infinite iterated function system; Comparison function; Attractor of an affine infinite iterated function system; phi-hyperbolic affine infinite iterated function system; Uniformly point-fibre affine infinite iterated function system; Convex body; Strictly topologically contractive affine infinite iterated function system; SPACE; SETS; IFS;
D O I：
10.1016/j.jmaa.2013.05.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a characterization of hyperbolic affine infinite iterated function systems defined on an arbitrary normed space. Our result is a generalization of Theorem 1.1 from the paper "A characterization of hyperbolic affine iterated function systems", Topology Proceedings, 36 (2010), 189-211, by R. Atkins, M. Barnsley, A. Vince and D. Wilson. Some examples are presented. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：56 / 68
页数：13
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