The multifractal spectra of projected measures in Euclidean spaces
type: Item
instance of: scholarly article
title: The multifractal spectra of projected measures in Euclidean spaces
zbMATH Open document ID: 0956.28006
DOI: 10.1016/S0960-0779(98)00256-2
author: Toby C. O'Neil
published in: Chaos, Solitons and Fractals
publication date: 2000-08-09T00:00:00Z
review text: In this paper, the author applies generalized Hausdorff and packing dimensions to investigate the relationship between the multifractal spectra of orthogonal projections of a measure in a Euclidean space and the measure's original multifractal spectrum.
reviewed by: Y. Xiao
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 1486574
zbMATH Keywords: multifractal spectrum
zbMATH Keywords: projection
zbMATH Keywords: generalized Hausdorff and packing measures
zbMATH Keywords: generalized Hausdorff and packing dimensions
MaRDI profile type: Publication
cites work: Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
cites work: On the multifractal analysis of measures
cites work: Multifractal decompositions of Moran fractals
cites work: Q3029673
cites work: Q3995301
cites work: Techniques in fractal geometry
cites work: Packing dimensions of projections and dimension profiles
cites work: The packing dimension of projections and sections of measures
cites work: Convolutions and the Geometry of Multifractal Measures
cites work: Fractal measures and their singularities: The characterization of strange sets
cites work: On Dimension and on the Existence of Sets of Finite Positive Hausdorff Measure
cites work: On Hausdorff dimension of projections
cites work: Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
cites work: Hausdorff dimension, orthogonal projections and intersections with planes
cites work: Q4328334
cites work: Q4301606
cites work: A multifractal formalism
cites work: Multifractal dimensions of product measures
cites work: The multifractal spectrum of quasi self-similar measures
cites work: Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
cites work: Q5603915
full work available at URL: s0960-0779(98)00256-2
OpenAlex ID: W2074011007
description: scientific article; zbMATH DE number 1486574