Intersections of Homogeneous Cantor Sets with Their Translations

作     者：Mei Feng DAI 

作者机构：Nonlinear Scientific Research Center Faculty of Science Jiangsu University Zhenjiang 212013 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2008年第24卷第8期

页      面：1313-1318页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Science Foundation of China (10671180) Jiangsu University 05JDG041 

主　　题：homogeneous Cantor set intersection fractal structure discrete spectrum 

摘      要：We pursue the study on homogeneous Cantor sets with their translations. We get the fractal structure of intersection I（t）, and find that the Hausdorff measure of these sets forms a discrete spectrum whose non-zero values come only from shifting numbers with the coding of t. Concretely, a very brief calculation formula of the measure with the coding of t is given.