Some problems in multifractal spectrum computation using a statistical method

文献类型: 外文期刊

第一作者: Chen, HP

作者: Chen, HP;Sun, X;Chen, HX;Wu, ZQ;Wang, BH

作者机构:

期刊名称:NEW JOURNAL OF PHYSICS ( 影响因子:3.729; 五年影响因子:3.74 )

ISSN: 1367-2630

年卷期: 2004 年 6 卷

页码:

收录情况: SCI

摘要: In practical calculations of a multifractal spectrum only limited data are available due to data overflow, measurement errors and limited calculation time. An effective method to reduce the data overflow is proposed. Some parameters are introduced to evaluate the incomplete degree of a partial multifractal spectrum. Quantitative expressions of the evaluation parameters on the partial multifractal spectra calculated using a statistical method for the Cantor sets p/1 - 2p/p and p/0/1 - p are derived. Approximate evaluation parameters of the partial multifractal spectra calculated using the statistical method are estimated for two examples with a random fractal character. The characteristic of the evaluation parameters for the above examples is discussed in detail.

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