The Hausdorff Measure of a Generalized Sierpinski Carpet

被引：1
作者：
CUI Zhen-wen
机构：
来源：
数学季刊 | 2003年 / 01期
关键词：
fractal; Hausdorff measure; Sierpinski carpet;
D O I：
暂无
中图分类号：
O174.12 [测度论];
学科分类号：
070104 ;
摘要：
In this paper, first, we prove that the Sierpinski carpet E is equivalent to the set R. Then we define a mass distribution on R. Using a certain of mass distribution, we obtain the lower bound about the Hausdorff measure of R. Therefore the exact value of Hausdorff measure of E is given.
引用
收藏
页码：57 / 67
页数：11
相关论文
共 4 条
  • [1] Fractal Geometry: Mathematical Foundation and Applications. FALCONER K. . 1990
  • [2] The hausdorff measure of a class of sierpinski carpets that satisfy balanced distribution. MA Dong-kui. Acta Scientiarum Naturalium Universitatis Sunyatseni . 2000
  • [3] The hausdorff measure of a sierpinski carpet. ZHOU Zuo-ling,WU Min. Science in China . 1999
  • [4] The hausdorff measure of the self-similar sets-the Koch Curve. ZHOU Zuo-ling. Science in China . 1998
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