摘要
设K是由Graf定义的统计自相似集.本文构造了一支撑在K上的随机测 度p,并研究了结合P的K的重分形分解,得到了分形谱函数f(α)的表达式.
Let K be statistical self-similar set defined by Graf. In this paper, we construct a random measure p which is supported by K, and study the multifractal decomposition for K with ρ. Under such a decomposition, we obtain the expression of the spectrum function f(α).
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第3期507-512,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10671066)
关键词
统计自相似集
重分形分解
谱函数
Statistical self-similar sets
Multifractal decomposition
Spectrum function
