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MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY 被引量:1

MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY
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摘要 The authors study recursive structures with "finite memory" in Euclidean matric space and the multifractal decomposition of the corresponding fractals. For any two positive numbers q,β, and such a recursive structure, a linear operator V^q,β in finite dimensional space is defined. The multifractal spectrum is given by the spectral radius of Vq,^β. The authors study recursive structures with "finite memory" in Euclidean matric space and the multifractal decomposition of the corresponding fractals. For any two positive numbers q,β, and such a recursive structure, a linear operator V^q,β in finite dimensional space is defined. The multifractal spectrum is given by the spectral radius of Vq,^β.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2008年第1期151-162,共12页 数学物理学报(B辑英文版)
关键词 Multifractal spectrum fraztal finite memory spectral radius Multifractal spectrum, fraztal, finite memory, spectral radius
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  • 1Jing Hu YU Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan 430071,P.R.China E-mail:ding@wipm.whcnc.ac.cnDi He HU College of Mathematics and Statistics.Wuhan University,Wuhan 430072,P.R.China E-mail:dhhu@whu.edu.cn.Multifractal Decomposition of Statistically Self-Similar Sets[J].Acta Mathematica Sinica,English Series,2001,17(3):507-516. 被引量:2

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