Some Dimensional Results of a Class of Homogeneous Moran Sets

Jingru Zhang, Yanzhe Li, Manli Lou and Ji Gao

Journal of Mathematics, 2021, vol. 2021, 1-9

Abstract: In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions. We also prove that the upper box dimension and the packing dimension of the sets can get the maximum value of the homogeneous Moran sets under the condition supk≥1mk

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6965671

DOI: 10.1155/2021/6965671

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