An algorithm for computing non-concave multifractal spectra using the Sν spaces

[en] We present an implementation of a multifractal formalism based on the Sν spaces and show that it effectively gives the right Hölder spectrum in numerous cases. In particular, it allows to recover non-concave spectra, where other multifractal formalisms only lead to the concave hull of the spectra.

Disciplines :

Mathematics

Author, co-author :

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

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

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

Title :

An algorithm for computing non-concave multifractal spectra using the Sν spaces

Publication date :

2018

Journal title :

Communications in Nonlinear Science and Numerical Simulation

ISSN :

1007-5704

Publisher :

Elsevier B.V.

Volume :

Pages :

526-543

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 07 October 2017

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Bibliography

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