Pointwise dimensions of general Moran measures with open set condition

作     者：LI JinJun WU Min 

作者机构：Department of MathematicsSouth China University of TechnologyGuangzhou 510640China Department of MathematicsZhangzhou Normal UniversityZhangzhou 363000China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第4期

页      面：699-710页

核心收录：

学科分类：0832[工学-食品科学与工程（可授工学、农学学位）] 07[理学] 08[工学] 070104[理学-应用数学] 083201[工学-食品科学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No.11071082) the Fundamental Research Funds for the Central Universities,SCUT 

主　　题：pointwise dimension Moran measure open set condition 

摘      要：Recently Lou and Wu obtained the formulas of pointwise dimensions of some Moran measures on Moran sets in Rd under the strong separation *** this paper,we prove that the result is still true under the open set *** to the lack of the strong separation condition,our approach is essentially different from that used by Lou and *** also obtain the formulas of the Hausdorff and packing dimensions of the Moran measures and discuss some interesting examples.