| The Hausdorff Dimension of Sections |
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| 作者姓名： | Min NIU Lifeng XI |
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| 作者单位： | Min NIU Lifeng XI Department of Mathematics and Mechanics，Beijing University of Science and Technology，Beijing 100083，China. Institute of Mathematics，Zhejiang Wanli University，Ningbo 315100，Zhejiang，China. |
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| 摘 要： | The notion of finite-type open set condition is defined to calculate the Hausdorff dimensions of the sections of some self-similar sets, such as the dimension of intersection of the Koch curve and the line x = a with a∈Q.
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| 关 键 词： | 截面 豪斯多夫维数 自相似集 开集条件 |
| 收稿时间： | 21 June 2005 |
| 修稿时间： | 3/6/2008 12:00:00 AM |
The Hausdorff Dimension of Sections |
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| Min NIU,Lifeng XI.The Hausdorff Dimension of Sections[J].Chinese Annals of Mathematics,Series B,2007,28(2):187-194. |
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| Authors: | Min NIU and Lifeng XI |
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| Institution: | 1. Department of Mathematics and Mechanics, Beijing University of Science and Technology, Beijing 100083,China
2. Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, Zhejiang, China |
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| Abstract: | Abstract
The notion of finite-type open set condition is defined to calculate the Hausdorff dimensions of the sections of some self-similar
sets, such as the dimension of intersection of the Koch curve and the line x = a with a ∈ ℚ.
*Project supported by the National Natural Science Foundation of China (No. 10301029, No. 10241003, No. 10671180, No. 10626003)
and the Morningside Center of Mathematics, Beijing, China. |
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| Keywords: | Hausdorff dimension Self-similar set Section Open set condition |
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