Multifractality of Random Products
نویسنده
چکیده
Moments of the measure defined by products of random deviates are considered with the aim of reproducing the multifractal spectrum of the DiffusionLimited Aggregation (DLA) . appeared in: Journal of Technical Physics 37 (1996), pp.441-444 In 1981 Witten and Sander have proposed the Diffusion-Limited Aggregation (DLA) model [1] leading to the formation of fractal patterns. The growth process of DLA is governed by the set of probabilities pi describing hitting of random walks by the perimeter of a cluster. The multifractal formalism [2] was applied for the description of DLA in [3]. Multifractal description of DLA is based on the behaviour of moments of the measure given by {pi}i=1 Zq(N) = N ∑
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