Assouad dimensions of Moran sets
type: Item
instance of: scholarly article
title: Assouad dimensions of Moran sets
zbMATH Open document ID: 1266.28005
author: Jinjun Li
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2013-03-15T00:00:00Z
review text: This article examines the relation between various notions of dimension for a class of fractals called Moran sets. The class of Moran sets is rather wide and includes many sets that are not Ahlfors regular. In particular, their Hausdorff dimension is in general strictly less than the packing dimension and the upper box dimension. However, the latter two coincide due to the results of \textit{S. Hua}, \textit{H. Rao, Z. Wen} and \textit{J. Wu} [Sci. China, Ser. A 43, No. 8, 836--852 (2000; Zbl 0976.28002)]. The author shows that the Assouad dimension of a Moran set agrees with its packing dimension and the upper box dimension.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 6145463
zbMATH Keywords: Moran set
zbMATH Keywords: Assouad dimension
zbMATH Keywords: packing dimension
zbMATH Keywords: upper box dimension
reviewed by: Leonid V. Kovalev
MaRDI profile type: Publication
full work available at URL: j.crma.2013.01.010
OpenAlex ID: W2006052468
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DOI: 10.1016/J.CRMA.2013.01.010
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description: scientific article; zbMATH DE number 6145463