A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method

Esser, Céline; Kleyntssens, Thomas; Nicolay, Samuel

doi:10.1016/j.acha.2015.12.006

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A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method

Esser, Céline; Kleyntssens, Thomas; Nicolay, Samuel

2017 • In Applied and Computational Harmonic Analysis, 43 (2), p. 269-291

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https://hdl.handle.net/2268/190248

DOI
10.1016/j.acha.2015.12.006

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Keywords :

Multifractal formalism for functions; wavelet leaders; Lnu spaces; Large deviation methods

Abstract :

[en] We present an implementation of a multifractal formalism based on the types of histogram of wavelet leaders. This method yields non-concave spectra and is not limited to their increasing part. We show both from the theoretical and from the applied points of view that this approach is more e cient than the wavelet-based multifractal formalisms previously introduced.

Disciplines :

Mathematics

Author, co-author :

Esser, Céline ; Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Kleyntssens, Thomas ; Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Nicolay, Samuel ; Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Language :

English

Title :

A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method

Publication date :

September 2017

Journal title :

Applied and Computational Harmonic Analysis

ISSN :

1063-5203

eISSN :

1096-603X

Publisher :

Elsevier, Atlanta, Georgia

Volume :

Issue :

Pages :

269-291

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 04 January 2016

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