Poster (Scientific congresses and symposiums)
Revisiting Snu spaces with wavelet leaders to detect non concave and non increasing spectra
Esser, Céline
2014Multifractal Analysis: From Theory to Applications and Back
 

Files


Full Text
banff_posterv2.pdf
Author preprint (319.72 kB)
Request a copy

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
multifractal formalism; wavelet leaders
Abstract :
[en] A multifractal formalism is a formula which is expected to yield the spectrum of singularities of a function from quantities which are numerically computable. The most widespread of these formulas is the so-called thermodynamic mul- tifractal formalism, based on the Frish-Parisi conjecture. It presents two drawbacks: it can hold only for spectra which are concave and it can only yield the increasing part of the spectrum. This first problem can be avoided using Sν spaces. The second one can be taken care using the wavelet leaders method. In this poster, we present a new multifractal formalism based on a generaliza- tion of the Sν spaces using wavelet leaders. It allows to detect non concave and non increasing spectra. We compare this formalism with the Sν method and the wavelet leaders method. It is based on joint works with F. Bastin, S. Jaffard, T. Kleyntssens and S. Nicolay.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline  ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Revisiting Snu spaces with wavelet leaders to detect non concave and non increasing spectra
Publication date :
27 February 2014
Event name :
Multifractal Analysis: From Theory to Applications and Back
Event place :
Banff, Canada
Event date :
du 23 au 28 février 2014
Audience :
International
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 01 March 2014

Statistics


Number of views
75 (39 by ULiège)
Number of downloads
15 (15 by ULiège)

Bibliography


Similar publications



Contact ORBi