Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 3: 705 - 722

DOI: https://doi.org/10.1007/s11464-016-0539-6

RESEARCH ARTICLE

Assouad dimensions of Moran sets and Cantor-like sets

  • Wenwen LI 1,2 ,
  • Wenxia LI 3,4 ,
  • Junjie MIAO 3 ,
  • Lifeng XI , 1
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  • 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

Received date: 10 Sep 2014

Accepted date: 17 Mar 2016

Published date: 17 May 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

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.

Key words： Fractal; Assouad dimension; Moran set; Cantor-like set

Cite this article

Wenwen LI , Wenxia LI , Junjie MIAO , Lifeng XI . Assouad dimensions of Moran sets and Cantor-like sets[J]. Frontiers of Mathematics in China, 2016 , 11(3) : 705 -722 . DOI: 10.1007/s11464-016-0539-6

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