Random iteration for non-expansive iterated function systems: derandomised algorithm Online publication date: Wed, 08-Apr-2015
by Krzysztof Leśniak
International Journal of Applied Nonlinear Science (IJANS), Vol. 1, No. 4, 2014
Abstract: A probabilistic algorithm, referred to as the 'chaos game', is derandomised with the aid of deterministic symbolic sequences, known in the algorithmic complexity under the name 'disjunctive words'. The deterministic algorithm is shown to work for attractors of iterated function systems comprising maps which do not increase distances.
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