东篱科研大数据发现系统（DRDS）

位置：成果数据库 > 期刊 > 期刊详情页

Assouad dimensions of Moran sets and Cantor-like sets

ISSN号：0583-1431
期刊名称：《数学学报》
时间：0
分类：O174.1[理学—数学;理学—基础数学] O174.12[理学—数学;理学—基础数学]
作者机构：[1]Department of Mathematics, Ningbo University, Ningbo 315211, China, [2]School of MathematiCs and Statistics, Fuyang Normal University, Fuyang 236037, China, [3]Department of Mathematics, East China Normal University, Shanghai 200241, China, [4]Shanghai Key Lab of PMMP, East China Normal University, Shanghai 200241, China
相关基金：Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11371329, 11471124, 11271137, 11201152）, K. C. Wong Magna Fund in Ningbo University, the Fund for the Doctoral Program of Higher Education of China （No. 20120076120001）, the Natural Science Foundation Zhejiang Province （No. LR13A010001）, and Natural Science Foundation of Shanghai （No. 11ZR1410300）.

作者： Wenwen LI[1,2], Wenxia LI[3,4], Junjie MIAO[3], Lifeng XI[1]

关键词： CANTOR集, MORAN集, 尺寸, 适宜条件, 数学, 集合, 齐次, Fractal, Assouad dimension, Moran set, Cantor-like set

中文摘要：

我们在合适的状况下面获得 Moran 集合的 Assouad 尺寸。用同类的集合介绍了在[J。数学。肛门。Appl， 2015， 432：888-917 ] ，我们也学习像领唱者的集合的 Assouad 尺寸。

英文摘要：

We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set introduced in [J. Math. Anal. Appl., 2015, 432：888 917], we also study the Assouad dimensions of Cantor-like sets.

同期刊论文项目