Random self-affine multifractal Sierpinski sponges in \(\mathbb R^d\)
type: Item
instance of: scholarly article
title: Random self-affine multifractal Sierpinski sponges in \(\mathbb R^d\)
zbMATH Open document ID: 1215.28009
author: Sumit K. Garg
published in: Monatshefte für Mathematik
publication date: 2011-01-28T00:00:00Z
review text: The author considers the Hausdorff, packing and Rényi dimension of random self-affine multifractal Sierpiński sponges in the Euclidean space \(\mathbb R^d\). The main results are contained in Theorem 1.1 and Theorem 1.2, in which under some proper conditions the relations between these three dimension types are described.
reviewed by: Nicolae-Adrian Secelean
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 37C45
zbMATH DE Number: 5842753
zbMATH Keywords: multifractals
zbMATH Keywords: self-affine measures
zbMATH Keywords: Sierpiński sponges
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: packing dimension
zbMATH Keywords: Rényi dimension
zbMATH Keywords: local dimension
MaRDI profile type: Publication
full work available at URL: s00605-009-0160-9
OpenAlex ID: W2021793347
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DOI: 10.1007/S00605-009-0160-9
description: scientific article; zbMATH DE number 5842753