The quantization dimension of the self-affine measures on general Sierpiński carpets
type: Item
instance of: scholarly article
title: The quantization dimension of the self-affine measures on general Sierpiński carpets
zbMATH Open document ID: 1213.28008
author: Sanguo Zhu
published in: Monatshefte für Mathematik
publication date: 2011-03-31T00:00:00Z
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 94A15
zbMATH DE Number: 5872790
zbMATH Keywords: quantization dimension
zbMATH Keywords: quantization coefficient
zbMATH Keywords: self-affine measure
zbMATH Keywords: Sierpiński carpets
zbMATH Keywords: finite maximal anti-chain
MaRDI profile type: Publication
full work available at URL: s00605-009-0176-1
OpenAlex ID: W2148515043
cites work: Multidimensional asymptotic quantization theory with&lt;tex&gt;r&lt;/tex&gt;th power distortion measures
cites work: Generalized dimensions of measures on self-affine sets
cites work: On Bandt's tangential distribution for self-similar measures
cites work: Foundations of quantization for probability distributions
cites work: The Quantization Dimension of Self–Similar Probabilities
cites work: Quantization for probability measures with respect to the geometric mean error
cites work: Quantization
cites work: Q3731958
cites work: The singularity spectrum for general Sierpiński carpets
cites work: Quantization dimension for conformal iterated function systems
cites work: The Hausdorff dimension of general 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
cites work: The quantization dimension of distributions
cites work: Quantization dimension of probability measures supported on Cantor-like sets
DOI: 10.1007/S00605-009-0176-1
description: scientific article; zbMATH DE number 5872790