数学物理学报(英文版)

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MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY

余旌胡; 张小丽   

  1. 武汉理工大学理学院数学系, 武汉 430071
  • 收稿日期:2005-10-21 修回日期:1900-01-01 出版日期:2008-01-20 发布日期:2008-01-20
  • 通讯作者: 余旌胡

MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY

Yu Jinghu; Zhang Xiaoli   

  1. Department of Mathematics, School of Sciences, Wuhan University of Techology, Wuhan 430071, China
  • Received:2005-10-21 Revised:1900-01-01 Online:2008-01-20 Published:2008-01-20
  • Contact: Yu Jinghu

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 Vq,β in finite dimensional space is defined. The multifractal spectrum
is given by the spectral radius of Vq, β.

关键词: Multifractal spectrum, fractal, finite memory, spectral radius

Abstract:

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 Vq,β in finite dimensional space is defined. The multifractal spectrum
is given by the spectral radius of Vq, β.

Key words: Multifractal spectrum, fractal, finite memory, spectral radius

中图分类号: 

  • 60D05