The Chaos Game on a General Iterated Function System

Details The Chaos Game on a General Iterated Function System The Chaos Game on a General Iterated Function System

2010-05-03

arxiv.org/abs/1005.0322v1

Mathematics

Metric Geometry

18 pages

Scientific paper

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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