Assouad dimensions and lower dimensions of some Moran sets
type: Item
instance of: scholarly article
title: Assouad dimensions and lower dimensions of some Moran sets
zbMATH Open document ID: 1489.28010
DOI: 10.1155/2020/8353591
published in: Journal of Mathematics
publication date: 2021-01-07T00:00:00Z
review text: Summary: We prove that the low dimensions of a class of Moran sets coincide with their Hausdorff dimensions and obtain a formula for the lower dimensions. Subsequently, we consider some homogeneous Cantor sets which belong to Moran sets and give the counterexamples in which their Assouad dimension is not equal to their upper box dimensions and packing dimensions under the case of not satisfying the condition of the smallest compression ratio \(c_*>0\).
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 7290904
author: Jiaqing Xiao
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8353591
OpenAlex ID: W3087787725
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description: scientific article; zbMATH DE number 7290904