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The Chaos game on a general iterated function system from a topological point of view

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Date

2014-11

Authors

Barnsley, Michael F.
Leśniak, Krzysztof

Journal Title

Journal ISSN

Volume Title

Publisher

World Scientific Publishing

Abstract

We investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the stochastic process during the generation of the orbit. A Baire category counterpart of almost sure convergence is presented.

Description

Keywords

disjunctive sequence, porous set, Random orbit

Citation

URI

http://hdl.handle.net/1885/13455

Collections

ANU Research Publications

Source

International Journal of Bifurcation and Chaos

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1142/S0218127414501399

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Barnsley and Lesniak The Chaos Game on a General Iterated Function System 2014.pdf (321.76 KB)

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