Skip to Main content Skip to Navigation
Reports

Higher Order Multifractal Analysis

Abstract : We extend the multifractal analysis to the description of the distribution of the $n$-th order correlation of singularities. For this purpose, new multifractal spectra are defined, and some general relations between them are given. We finally perform explicitcomputations in the case of deterministic multinomial measures, and show that the multifractal formalism does not hold for correlations on this class of measures.
Document type :
Reports
Complete list of metadata

Cited literature [2 references]  Display  Hide  Download

https://hal.inria.fr/inria-00073894
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:01:06 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:08:53 PM

Identifiers

  • HAL Id : inria-00073894, version 1

Collections

Citation

Robert Vojak, Jacques Lévy Véhel. Higher Order Multifractal Analysis. [Research Report] RR-2796, INRIA. 1996. ⟨inria-00073894⟩

Share

Metrics

Record views

154

Files downloads

255