A multifractal formalism
type: Item
instance of: scholarly article
title: A multifractal formalism
zbMATH Open document ID: 0841.28012
author: L. Olsen
published in: Advances in Mathematics
publication date: 1996-02-20T00:00:00Z
review text: This is a long and carefully written paper examining up to what extent rigorous arguments can be provided for the so-called multifractal theory. The mathematical theory is based on Hausdorff and packing measures and their dimension notions on metric spaces. The author studies global dimension functions as well as local dimension functions (called multifractal spectra) on the support of Borel probability measures. Special attention is paid to the multifractal analysis of graph directed self-similar and ``cookie-cutter'' measures. Open questions are stated. Remarks to forthcoming papers after submitting year 1992 are also given.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 838708
zbMATH Keywords: Hausdorff measure
zbMATH Keywords: packing dimension
zbMATH Keywords: graph directed self-similar measure
zbMATH Keywords: cookie-cutter masure
zbMATH Keywords: metric spaces
zbMATH Keywords: multifractal spectra
reviewed by: Hermann Haase
MaRDI profile type: Publication
full work available at URL: aima.1995.1066
OpenAlex ID: W2007912280
DOI: 10.1006/AIMA.1995.1066
Recommended article: A higher order multifractal formalism
Recommended article: A multifractal formalism in a probability space
Recommended article: Q4664797
Recommended article: Q4273066
Recommended article: Multi-fractal formalism for non-self-similar functions
Recommended article: Multifractal formalisms for multivariate analysis
Recommended article: A relative vectorial multifractal formalism
Recommended article: Multifractal methodology
Recommended article: Complex multifractal measures and a generalized multifractal formalism
Recommended article: Q3128835
description: scientific article; zbMATH DE number 838708