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函数系矩阵生成的分形完备簇的豪斯夺夫维数和盒维数
The Hausdorff Dimension and Box Dimension of the Complete Family of Fractals Derived by the Function System Matrix
函数系矩阵 / 分形完备簇 / Hausdorff 维数及Box-维数 {{custom_keyword}} /
function system matrix / complete family of fractals / Hausdorff dimension and Box-dimension {{custom_keyword}} /
[1] Marion J., Mesures de Hausdorff et théorie de Perron--Frobenius des matrices non-négatives, Ann. Inst. Fourier. Grenoble., 1985, 35(4): 99--125.
[2] Marion J., Mesures de Hausdorff d'un fractal á similitude interne, Ann. Inst. Fourier. Grenoble., 1996, 10(1): 51--84.
[3] Long L. H., The Hausdorff dimension of fractals generated from representing system, Acta Mathematica Sinica, Chinese Series, 2001, 44(4): 627--632.
[4] Falconer K. J., Fractal Geometry--Mathematical Foundations and Applications, New York: John Wiley, 1990.
[5] Wen Z. Y., Mathematical Foundations of Fractal Geometry, Shanghai: Shanghai Educational Publishing House, 2001 (in Chinese).
[6] Liu Q. H., Wen Z. Y., On dimensions of multitype Moran sets, Math. Proc. Camb. Phil. Soc., 2005, 139(541): 541--552.
[7] Xi L. F., Ruan H. J., Lipschitz equivalence of self-Similar sets satisfying strong separation condition, Acta Mathematica Sinica, Chinese Series, 2008, 51(3): 493--500.
[8] Wang J., Chen M., Coarse multifractal analysis for sample paths of Brownian sheet, Acta Mathematica Sinica, Chinese Series, 2009, 52(3): 561--568.
[9] Wu C. J., Liu L. Q., Fractal properties of multi-self-similar hunt processes on Rd+, Acta Mathematica Sinica, Chinese Series, 2009, 52(5): 1013--1020.
海南省教育厅自然科学资助项目
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