Assouad dimensions of Moran sets and Cantor-like sets

Wenwen Li; Wenxia Li; Junjie Miao; Lifeng Xi

doi:10.1007/s11464-016-0539-6

Assouad dimensions of Moran sets and Cantor-like sets

Wenwen Li
, Wenxia Li
, Junjie Miao
, Lifeng Xi^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

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.

Original language	English
Pages (from-to)	705-722
Number of pages	18
Journal	Frontiers of Mathematics in China
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/s11464-016-0539-6
State	Published - 1 Jun 2016

Keywords

Assouad dimension
Cantor-like set
Fractal
Moran set

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10.1007/s11464-016-0539-6

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title = "Assouad dimensions of Moran sets and Cantor-like sets",

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 = "Assouad dimension, Cantor-like set, Fractal, Moran set",

author = "Wenwen Li and Wenxia Li and Junjie Miao and Lifeng Xi",

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year = "2016",

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T1 - Assouad dimensions of Moran sets and Cantor-like sets

AU - Li, Wenwen

AU - Li, Wenxia

AU - Miao, Junjie

AU - Xi, Lifeng

PY - 2016/6/1

Y1 - 2016/6/1

N2 - 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.

AB - 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.

KW - Assouad dimension

KW - Cantor-like set

KW - Fractal

KW - Moran set

UR - https://www.scopus.com/pages/publications/84962200810

U2 - 10.1007/s11464-016-0539-6

DO - 10.1007/s11464-016-0539-6

M3 - 文章

AN - SCOPUS:84962200810

SN - 1673-3452

VL - 11

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EP - 722

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

IS - 3

ER -

Assouad dimensions of Moran sets and Cantor-like sets

Abstract

Keywords

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