On various multifractal spectra - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Year : 2004

On various multifractal spectra

Abstract

We introduce two classes of multifractal spectra, called respectively dimension and continuous spectra. Dimension spectra offer an interesting alternative to the classical Hausdorff spectrum: They are much easier to estimate yet still give relevant information about the geometry of the H¨older function. Continuous spectra are a generalization of the large deviation spectrum that allow to obtain partition free results. Both classes of spectra allow to perform efficient multifractal analysis in an experimental framework
Fichier principal
Vignette du fichier
jlvctfinal.pdf (164.01 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00559102 , version 1 (14-03-2011)

Identifiers

Cite

Jacques Lévy Véhel, Claude Tricot. On various multifractal spectra. Christoph Bandt; Umberto Mosco; Martina Zähle. Fractal Geometry and Stochastics III, 57, Springer, pp.23-42, 2004, Progress in Probability, ⟨10.1007/978-3-0348-7891-3_2⟩. ⟨inria-00559102⟩
78 View
166 Download

Altmetric

Share

Gmail Facebook X LinkedIn More