Alternative characterization of hyperbolic affine infinite iterated function systems

被引：17

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

页码：56 / 68

页数：13

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