Intersections of Homogeneous Cantor Sets with Their Translations  

作　　者：Mei Feng DAI 

机构地区：[1]Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第8期1313-1318,共6页数学学报（英文版）

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

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.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.

关 键 词：homogeneous Cantor set INTERSECTION fractal structure discrete spectrum 

分 类 号：O144[理学—数学]