| 三种三维随机Cantor集的Hausdorff维数 |
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| 引用本文： | 刘秀芳,栗演兵.三种三维随机Cantor集的Hausdorff维数[J].北京师范大学学报(自然科学版),1994,30(1):25-30. |
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| 作者姓名： | 刘秀芳 栗演兵 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 利用位势方法，分枝过程Ｂｅｒｎｏｕｌｌｉ随机置换的方法计算和估计了Ｍａｎｄｅｌｂｒｏｔ渗流，随机Ｓｉｅｒｐｉｎｓｋｉ海绵及多孔海绵的Ｈａｕｓｄｏｒｆｆ维数。并在准备工作中证明常用但未证明的质量分布的构造方法。
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| 关 键 词： | 随机置换 质量分布 Cantor集 |
HAUSDORFF DIMENSION OF THREE RANDOM CANTOR SETS IN THREE DIMENSIONS |
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| Liu Xiufang,Li Yanbing.HAUSDORFF DIMENSION OF THREE RANDOM CANTOR SETS IN THREE DIMENSIONS[J].Journal of Beijing Normal University(Natural Science),1994,30(1):25-30. |
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| Authors: | Liu Xiufang Li Yanbing |
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| Abstract: | The authors made use of the potential method to calculate the Hausdorff dimension of Manderbrot percolation, random Sierpinski gasket and the gasket with more holes. As preparation, the authors gave a proof of the method to construct quality distribution which was often used but not be proved. |
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| Keywords: | Bernoulli substitution potential theory quality distribution |
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