The Chaos Game on a General Iterated Function System from a Topological Point of View-Reference-Cited by-同舟云学术

The Chaos Game on a General Iterated Function System from a Topological Point of View

Published:2014-11 Issue:11 Volume:24 Page:1450139
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Barnsley Michael F.¹,Leśniak Krzysztof²

Affiliation:

1. Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia

2. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Toruń 87-100, Poland

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127414501399

Reference41 articles.

1. Iterated function systems and the global construction of fractals

2. V-variable fractals: Fractals with partial self similarity

3. The chaos game on a general iterated function system

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