Title of article
Alternative characterization of hyperbolic affine infinite iterated function systems
Author/Authors
Miculescu، نويسنده , , Radu and Mihail، نويسنده , , Alexandru، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
13
From page
56
To page
68
Abstract
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.
Keywords
Affine infinite iterated function system , Comparison function , Attractor of an affine infinite iterated function system , ? -hyperbolic affine infinite iterated function system , Uniformly point-fibre affine infinite iterated function system , Convex body , Strictly topologically contractive affine infinite iterated function system
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563810
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