摘要
利用位势方法、分枝过程和Ｂｅｒｎｏｕｌｌｉ随机置换的方法计算和估计了Ｍａｎｄｅｌｂｒｏｔ渗流，随机Ｓｉｅｒｐｍｓｋｉ海绵及多孔海绵的Ｈａｕｓｄｏｒｆｆ维数。并在准备工作中证明了一种常用但未证明的质量分布的构造方法。
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.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
1994年第1期25-30,共6页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金
关键词
随机置换
质量分布
CANTOR集
Bernoulli substitution
potential theory
quality distribution
