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

查看全文 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

出　　处：《Wuhan University Journal of Natural Sciences》索引2004年第9卷第3期,共4页

基　　金：SupportedbytheNationalNaturalScienceFoundationofChina (1 0 371 0 92)andtheFoundationofWuhanUniversity 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., dim K α u =Dim K α u=f(α), where f 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. 关键词：自相似集多分形分解直方图弱重叠 Hausdorff分形 Hausdorff测量

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

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