摘要
系统地评介有关随机递归集的分形性质及几何性质包括各种维数,确切测度函数,几何性质.对各类随机Cantor集及统计自相似性作了较详细的评介.
The fractal properties and geometry properties of randim recursive sets,especially for several kinds of random Cantor sets and statistically self-similat sets are introduced systematically in this paper, The main contents include dimensions,exact measure functions and geometry properties.
出处
《武汉大学学报(自然科学版)》
CSCD
2000年第1期56-60,共5页
Journal of Wuhan University(Natural Science Edition)
基金
国家自然科学基金!(19671066)
国家教委博士点基金!(9548613)
关键词
随机递归集
统计自相似性
确切测度函数
random recursive set
statistically self-similar set
Hausdorff dimension
exact measure function