Model of uniform stochastic fractal

Yu.P. Virchenko, A.Ya. Dulfan

Institute for Single Crystals, National Academy of Sciences of Ukraine, 60 Lenin Ave., 310001, Kharkiv, Ukraine

Received November 11, 1998

Basing on the random branching process of splitting, similar to well-known multiplicative process of multifractal measures construction, the probabilistic model of spatially uniform stochastic fractal is constructed. The fractal dimension in the framework of the model is calculated and is proven to be "self-averaging".

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