Dimensional Results for the Moran-Sierpinski Gasket  

作　　者：CAO Li HE Xinggang 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]College of Mathematics and Statistics, Central ChinaNormal University, Wuhan 430079, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2012年第2期93-96,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10771082 and 10871180)

摘　　要：In this paper, the dimensional results of Moran-Sierpinski gasket are considered. Moran-Sierpinski gasket has the Moran structure, which is an extension of the Sierpinski gasket by the method of Moran set. By the technique of Moran set, the Hausdorff, packing, and upper box dimensions of the Moran-Sierpinski gasket are given. The dimensional results of the Sierpinski gasket can be seen as a special case of this paper.In this paper, the dimensional results of Moran-Sierpinski gasket are considered. Moran-Sierpinski gasket has the Moran structure, which is an extension of the Sierpinski gasket by the method of Moran set. By the technique of Moran set, the Hausdorff, packing, and upper box dimensions of the Moran-Sierpinski gasket are given. The dimensional results of the Sierpinski gasket can be seen as a special case of this paper.

关 键 词：Sierpinski gasket Moran-Sierpinski gasket Moran set Hausdorff dimension packing dimension 

分 类 号：O174.12[理学—数学]