The similarity dimension of the random iterated function system

Moskalev P.V., Buhovetc A.G.
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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)).

Keywords: similarity dimension, random iterated function system, Sierpinski polygon
Citation in English: Moskalev P.V., Buhovetc A.G. The similarity dimension of the random iterated function system // Computer Research and Modeling, 2012, vol. 4, no. 4, pp. 681-691
Citation in English: Moskalev P.V., Buhovetc A.G. The similarity dimension of the random iterated function system // Computer Research and Modeling, 2012, vol. 4, no. 4, pp. 681-691
DOI: 10.20537/2076-7633-2012-4-4-681-691
URL: http://crm-en.ics.org.ru/journal/article/1949/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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