Multifractal Decomposition of Statistically Self-Similar Sets |
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Authors: | Jing Hu Yu Di He Hu |
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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 |
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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 |
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Keywords: | Statistically self-similar sets Multifractal decomposition Spectrum function |
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