Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 60D05
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