Acta mathematica scientia, Series B >
MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY
Received date: 2005-10-21
Revised date: 1900-01-01
Online published: 2008-01-20
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
Yu Jinghu , Zhang Xiaoli . MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY[J]. Acta mathematica scientia, Series B, 2008 , 28(1) : 151 -162 . DOI: 10.1016/S0252-9602(08)60015-6
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