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 :
43
Issue :
2
Pages :
269-291
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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