The chaos game on a general iterated function system from a topological point of view

Details The chaos game on a general iterated function system from a topological point of view The chaos game on a general iterated function system from a topological point of view

2012-03-02

arxiv.org/abs/1203.0481v1

Mathematics

Dynamical Systems

Scientific paper

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 generation the orbit. A
Baire category counterpart of almost sure convergence is presented; and a link
between topological and probabilistic methods is observed.

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