The Hausdorff Dimension of Sections

作     者：Min NIU Lifeng XI 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.

作者机构：Department of Mathematics and Mechanics Beijing University of Science and Technology Beijing 100083China Institute of MathematicS Zhejimag Wanli University Ningbo 315100 Zhejiang China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2007年第28卷第2期

页      面：187-194页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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 

主　　题：Hausdorff dimension Self-similar set Section Open set condition 

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.