Assouad dimensions of Moran sets and Cantor-like sets

作     者：Wenwen LI Wenxia LI Junjie MIAO Lifeng XI 

作者机构：Department of Mathematics Ningbo University Ningbo 315211 China School of MathematiCs and Statistics Fuyang Normal University Fuyang 236037 China Department of Mathematics East China Normal University Shanghai 200241 China Shanghai Key Lab of PMMP East China Normal University Shanghai 200241 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2016年第11卷第3期

页      面：705-722页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：Fractal Assouad dimension Moran set Cantor-like set 

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.