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  1. Moskalev P.V., Buhovetc A.G.
    The similarity dimension of the random iterated function system
    Computer Research and Modeling, 2012, v. 4, no. 4, pp. 681-691

    In this paper we consider the properties of the random iterated function systems (RIFS) obtained using a generalization of the Chaos game algorithm. Used for the RIFS simulation R is a free software environment for statistical computing and graphics. The similarity dimension by the polygonal protofractals Z = {zj}, j = 1, 2, . . . , k nonmonotonically depends on the RIFS parameters dS(μ|k) with an extreme value max dS(μ|k)=−ln k/ln(1/(1+μ)).

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International Interdisciplinary Conference "Mathematics. Computing. Education"