| MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY |
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| 作者姓名： | 余旌胡 张小丽 |
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| 作者单位： | [1]Department of Mathematics, School of Sciences, Wuhan University of Techology, Wuhan 430071, China [2]Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China |
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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.
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| 关 键 词： | 光谱 有限存储器 半径 分解方法 |
| 收稿时间： | 2005-10-21 |
Multifractal Decomposition of Fractals With Finite Memory |
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| Yu Jinghu,Zhang Xiaoli,.MULTIFRACTAL DECOMPOSITION OF FRACTALS WITH FINITE MEMORY[J].Acta Mathematica Scientia,2008,28(1):151-162. |
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| Authors: | Yu Jinghu Zhang Xiaoli |
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| Institution: | cDepartment of Mathematics, School of Sciences, Wuhan University of Techology, Wuhan 430071, China;dWuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China |
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| 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 rccursive structure, a linear operator Vq,β in finite dimensional space is defined. The multifractal spectrum is given by the spectral radius of Vq,β. |
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| Keywords: | Multifractal spectrum fractal finite memory spectral radius |
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