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Topological Contractive Systems

Date

Authors

Barnsley, Michael

Igudesman, Konstantin

Publisher

Pleiades Publishing Ltd

Abstract

We are concerned with one of the fundamental problems of fractal geometry: When is a topological contractive system a metric contractive system? We show that there exists a metric such that a topological contractive system is nonexpansive and give a sufficient condition for the contractive property of this system.

Keywords

Keywords: attractor; Contraction; iterated function systems; metric structures; pseudodistance

URI

http://hdl.handle.net/1885/18987

Collections

ANU Research Publications

Source

Lobachevskii Journal of Mathematics

Type

Journal article

DOI

10.1134/S1995080211030048

Restricted until

2037-12-31

Downloads

File

Description

01_Barnsley_Topological_Contractive_2011.pdf (423.07 KB)