The Chaos Game on a General Iterated Function System

Published 3 May 2010 in math.MG | (1005.0322v1)

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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