Geometric constructions in multifractal geometry
type: Item
instance of: scholarly article
title: Geometric constructions in multifractal geometry
zbMATH Open document ID: 0944.28007
DOI: 10.1023/A:1004730520036
author: L. Olsen
published in: Periodica Mathematica Hungarica
publication date: 2000-02-21T00:00:00Z
review text: The author surveys some geometric constructions and notions in multifractal analysis of measures, with a particular emphasis on the multifractal formalism introduced by \textit{J. Peyrière} [NATO ASI Ser., Ser. C 372, 175-186 (1992; MR 93i:28005)] and the author [Advances Math. 116, No.1, 82-196 (1995; Zbl 0841.28012)]. He shows that this formalism leads to a multifractal geometry for product measures, for slices of measures, and for intersections of measures.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 1404404
zbMATH Keywords: fractals
zbMATH Keywords: multifractals
zbMATH Keywords: slices of measures
zbMATH Keywords: intersections of measures
zbMATH Keywords: packing dimension
zbMATH Keywords: Hausdorff dimension
reviewed by: Jürgen Appell
MaRDI profile type: Publication
full work available at URL: a:1004730520036
OpenAlex ID: W1723696616
description: scientific article; zbMATH DE number 1404404