Assouad and Lower Dimensions of Some Homogeneous Cantor Sets

Xiao JiaQing and Carmelo Antonio Finocchiaro

Journal of Mathematics, 2022, vol. 2022, 1-7

Abstract: We compute the Assouad dimensions and the lower dimensions of a class of homogeneous Cantor sets without the condition that the smallest compression ratio C⋆>0 and find that the lower dimension of a homogeneous Cantor set E may be any a number in the interval 0,dimHE and the Assouad dimension of E may be any a number in the interval dim¯BE,1.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3501228

DOI: 10.1155/2022/3501228

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