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| THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET | |
| 引用本文： | 胡迪鹤 张晓敏. THE DIMENSION FOR RANDOM SUB-SELF-SIMILAR SET[J]. 数学物理学报(B辑英文版), 2007, 27(3): 561-573. DOI: 10.1016/S0252-9602(07)60056-3 |
| 作者姓名： | 胡迪鹤 张晓敏 |
| 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 |
| 基金项目： | 国家自然科学基金，宁波大学校科研和教改项目 |
| 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. |
| 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. DOI: 10.1016/S0252-9602(07)60056-3 | |
| Authors: | Dihe Hu Xiaomin Zhang |
| Affiliation: | 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 |
| 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. |
| Keywords: | Random sub-self-similar set random shift set Hausdorff dimension exact Hausdorff measure function Hausdorff metric |
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