The Hausdorff Dimension of Sections  被引量:1

The Hausdorff Dimension of Sections

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作  者:Min NIU Lifeng XI 

机构地区:[1]Department of Mathematics and Mechanics, Beijing University of Science and Technology, Beijing 100083,China [2]Institute of MathematicS, Zhejimag Wanli University, Ningbo 315100, Zhejiang, China

出  处:《Chinese Annals of Mathematics,Series B》2007年第2期187-194,共8页数学年刊(B辑英文版)

基  金:Project supported by the National Natural Science Foundation of China (No. 10301029, No. 10241003, No. 10671180, No. 10626003);the Morningside Center of Mathematics, Beijing, China.

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=α with α∈ Q.

关 键 词:Hausdorff dimension Self-similar set SECTION Open set condition 

分 类 号:O189.12[理学—数学]

 

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