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arXiv · 1005.0322

The Chaos Game on a General Iterated Function System

Michael Barnsley·Andrew Vince
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Abstract

The main theorem of this paper establishes conditions under which the "chaos game" algorithm almost surely yields the attractor of an iterated function system. The theorem holds in a very general setting, even for non contractive iterated function systems, and under weaker conditions on the random orbit of the chaos game than obtained previously.

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Michael Barnsley, Andrew Vince. 2010-05-03. The Chaos Game on a General Iterated Function System. https://arxiv.org/abs/1005.0322

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