Hausdorff dimension of fiber-coding sub-Sierpiński carpets
type: Item
instance of: scholarly article
title: Hausdorff dimension of fiber-coding sub-Sierpiński carpets
zbMATH Open document ID: 1125.28003
author: Wenxia Li
author: Yongxin Gui
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-05-04T00:00:00Z
review text: The authors determine the Hausdorff and packing dimension of a class of subsets of Sierpiński carpets of which the allowed digits in the expansions fall into each fiber with a prescribed frequency; the authors give also necessary and sufficient conditions such that the corresponding Hausdorff and packing measures are finite. The results extend some results of A. Nielson.
reviewed by: Hua Su
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 5149546
zbMATH Keywords: Sierpiński carpets
zbMATH Keywords: Hausdorff dimension, packing dimension
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.08.071
OpenAlex ID: W2064684965
cites work: Techniques in fractal geometry
cites work: Q4024265
cites work: Measures of full dimension on affine-invariant sets
cites work: The Hausdorff dimension of general Sierpiński carpets
cites work: The Hausdorff and Packing Dimensions of Some Sets Related to Sierpiński Carpets
cites work: The packing measure of self-affine carpets
cites work: The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
DOI: 10.1016/J.JMAA.2006.08.071
description: scientific article; zbMATH DE number 5149546