| THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET |
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| 作者姓名： | 胡迪鹤 张晓敏 |
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| 作者单位： | School of Mathematics and Statistics Yunnan University，Faculty of Science，Ningbo University，Kunming 650091，China School of Mathematics and statistics，Wuhan University，Wuhan 430072，China，Ningbo 315211，China |
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| 基金项目： | 国家自然科学基金，宁波大学校科研和教改项目 |
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| 摘 要： | In this article,the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions.Several examples are given at the end.
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| 关 键 词： | 随机自相似集 随机转移集 豪斯多夫维数 豪斯多夫测度函数 |
| 修稿时间： | 2004-12-30 |
The dimension for random sub-self-similar set |
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| Dihe Hu,Xiaomin Zhang.THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET[J].Acta Mathematica Scientia,2007,27(3):561-573. |
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| Authors: | Dihe Hu Xiaomin Zhang |
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| Institution: | 1.School of Mathematics and Statistics, Yunnan University, Kunming 650091, China ; 2.School of Mathematics and statistics, Wuhan University, Wuhan 430072, China; 3.Faculty of Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end. |
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| Keywords: | Random sub-self-similar set random shift set Hausdorff dimension exact Hausdorff measure function Hausdorff metric |
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