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

Ben Mabrouk, Anouar; Aouidi, Jamil

Softcover

ISBN 10: 3846596469 ISBN 13: 9783846596463

Publisher: 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.

About this title

About the Author

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.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• Language: English
• ISBN 10: 3846596469
• ISBN 13: 9783846596463
• Binding: Paperback
• Number of pages: 64