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Random Iteration Algorithm for Graph-Directed Sets

By Yoshiki Tsujii, Takakazu Mori, Mariko Yasugi and Hideki Tsuiki


Abstract. A random iteration algorithm for graph-directed sets is defined and discussed. Similarly to the Barnsley-Elton’s theorem, it is shown that almost all sequences obtained by this algorithm reflect a probability measure which is invariant with respect to the system of contractions with probabilities.

Year: 2012
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