摘要
对于一种利用可测映射序列构造的统计自相似集和统计自相似测度,得到了统计自相似测度的支撑集,以及统计自相似集关于统计自相似测度的0-1律性质.
We consider the statistically self- similar set and the statistically self- similar measme constructed by the sequence of Borel measurable functions, we establish the support of statistically seif- similar measure and the 0- 1 law about satistically self- similar fractals.
关键词
统计自相似测度
统计自似集
H测试
分形
Statistically self-similar random set
Statistically self-similar mensure
Hausdorff measure
Hausdofff metric