CAO Li1, HE Xinggang2 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072 , Hubei, China;2. College of Mathematics and Statistics, Central China Normal University, Wuhan 430079, Hubei, China
通讯作者:
Li Cao
作者机构:
[Li Cao] School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China
[Xinggang He] College of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei, China
通讯机构:
[Li Cao] S
School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China
语种:
英文
关键词:
Sierpinski;Moran-Sierpinski;Moran;Hausdorff;Sierpinski gasket Moran-Sierpinski gasket Moran set Hausdorff dimension packing dimension
Supported by the National Natural Science Foundation of China(10771082 and 10871180);
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
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 g...