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The chaos game on a general iterated function system

Barnsley, Michael; vince, Andrew

Description

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.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/63880
Source: Ergodic Theory and Dynamical Systems
DOI: 10.1017/S0143385710000428

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