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Multifractal Decomposition of Statistically Self-Similar Sets
Authors:Jing Hu Yu  Di He Hu
Institution:(1) Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, P. R. China, E-mail: ding@wipm.whcnc.ac.cn, CN;(2) College of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China, E-mail: dhhu@whu.edu.cn, CN
Abstract:Let K be a statistically self-similar set defined by Graf. In this paper, we construct a random measure ρ which is supported by K and study the multifractal decomposition for K with ρ. Under such a decomposition, we obtain the expression of the spectrum function ƒ(α). Received July 18, 1997, Accepted October 13, 2000
Keywords:Statistically self-similar sets  Multifractal decomposition  Spectrum function
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