A Note on the Multifractal Decomposition of Directed Graph Self Similar Sets

作     者：Zheng Shui-cao 1,2 , Hu Di-he 1 1. School of Mathematics and Statistics, Wuhan University , Wuhan 430072, Hubei, China 2. The Basic Teaching Department, Jimei University, Xiamen 361021, Fujian, China 

作者机构：School of Mathematics and Statistics Wuhan University Wuhan Hubei China The Basic Teaching Department Jimei University Xiamen Fujian China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2004年第9卷第3期

页      面：269-272页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070201[理学-理论物理] 0701[理学-数学] 0702[理学-物理学] 

基　　金：SupportedbytheNationalNaturalScienceFoundationofChina (1 0 371 0 92)andtheFoundationofWuhanUniversity 

主　　题：Hausdorff dimension Hausdorff measure multifractal decomposition 

摘      要：We investigated the directed graph self similar sets under some weak overlapping condition. We get the multifractal decomposition formulas for these sets, i. e., dimK u a =DimK u a =f(a), wheref is the multifractal spectral function of the directed graph self similar measure, Especially, the results improve that of Edgar and Mauldin to the case which allows certain overlapping. Key words Hausdorff dimension - Hausdorff measure - multifractal decomposition CLC number O 211. 6 Foundation item: Supported by the National Natural Science Foundation of China (10371092) and the Foundation of Wuhan University Biography: Zheng Shui-cao (1973-), male, Ph. D candidate, research direction: stochastic processes and random fractals.