Assouad dimensions of Moran sets and Cantor-like sets

Wenwen LI; Wenxia LI; Junjie MIAO; Lifeng XI

doi:10.1007/s11464-016-0539-6

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Front. Math. China ›› 2016, Vol. 11 ›› Issue (3) : 705-722. DOI: 10.1007/s11464-016-0539-6

RESEARCH ARTICLE

Assouad dimensions of Moran sets and Cantor-like sets

Wenwen LI¹^,² ,
Wenxia LI³^,⁴ ,
Junjie MIAO³ ,
Lifeng XI¹

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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.

Keywords

Fractal / Assouad dimension / Moran set / Cantor-like set

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Wenwen LI, Wenxia LI, Junjie MIAO, Lifeng XI. Assouad dimensions of Moran sets and Cantor-like sets. Front. Math. China, 2016, 11(3): 705‒722 https://doi.org/10.1007/s11464-016-0539-6

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