Lecture note on wavelet multifractal analysis and self similarities: Wavelet Multifractal Analysis of Functions - Couverture souple

Ben Mabrouk, Anouar; Aouidi, Jamil

 
9783846596463: Lecture note on wavelet multifractal analysis and self similarities: Wavelet Multifractal Analysis of Functions
Couverture souple
ISBN 10 : 3846596469 ISBN 13 : 9783846596463
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

The book deals with Wavelet Multifractal Analysis of Functions especially those representing some type of self similarity. These constitute nowadays a very popular subject of study in theoretical mathematics, physics as well as applied fields such as biology, finance, etc. This makes their understanding is of great interest for researchers as well as professionals. This book will be an important reference especially for young researchers as well as for applied ones especially physicists, biologists, bankers, and financials. We recall with details the mathematics notions related to the subject such as Hausdorff measure and dimension, self similar sets and the role of the self similarity in the computation of their sizes. Next, we recall the basics of wavelet theory, self similar type functions and the validity of the multifractal formalism and its relation to the self similar structure. Some examples are also recalled with exact computations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The book deals with Wavelet Multifractal Analysis of Functions especially those representing some type of self similarity. These constitute nowadays a very popular subject of study in theoretical mathematics, physics as well as applied fields such as biology, finance, etc. This makes their understanding is of great interest for researchers as well as professionals. This book will be an important reference especially for young researchers as well as for applied ones especially physicists, biologists, bankers, and financials. We recall with details the mathematics notions related to the subject such as Hausdorff measure and dimension, self similar sets and the role of the self similarity in the computation of their sizes. Next, we recall the basics of wavelet theory, self similar type functions and the validity of the multifractal formalism and its relation to the self similar structure. Some examples are also recalled with exact computations.

Biographie de l'auteur

Anouar BEN MABROUK, Assistant Professor of Mathematics, at University of Sousse, Tunisia. Focuses on Wavelets, Fractals, PDEs, Statistics and their applications......................................Jamil AOUIDI, Associate Professor of Mathematics at Military Academy of Sousse, Tunisia. He is working on Wavelet Multifrcatal Analysis of functions.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3846596469
ISBN 13 
9783846596463
Reliure
Broché
Nombre de pages
64
Coordonnées du fabricant
non disponible
Personne responsable
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