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Assouad dimensions of Moran sets and Cantor-like sets

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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.

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Authors and Affiliations

  1. Department of Mathematics, Ningbo University, Ningbo, 315211, China

    Wenwen Li & Lifeng Xi

  2. School of Mathematics and Statistics, Fuyang Normal University, Fuyang, 236037, China

    Wenwen Li

  3. Department of Mathematics, East China Normal University, Shanghai, 200241, China

    Wenxia Li & Junjie Miao

  4. Shanghai Key Lab of PMMP, East China Normal University, Shanghai, 200241, China

    Wenxia Li

Authors
  1. Wenwen Li
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  2. Wenxia Li
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  3. Junjie Miao
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  4. Lifeng Xi
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Correspondence to Lifeng Xi.

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Li, W., Li, W., Miao, J. et al. Assouad dimensions of Moran sets and Cantor-like sets. Front. Math. China 11, 705–722 (2016). https://doi.org/10.1007/s11464-016-0539-6

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

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