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Fractals

Theory and Applications in Engineering

  • Michel Dekking
  • Jacques Lévy Véhel
  • Evelyne Lutton
  • Claude Tricot

Table of contents

  1. Front Matter
    Pages i-vii
  2. Locally Self Similar Processes

    1. Front Matter
      Pages 1-1
    2. Albert Benassi, Daniel Roux
      Pages 33-45
    3. Patrick Flandrin, Patrice Abry
      Pages 47-64
  3. Multifractal Analysis

  4. IFS

    1. Front Matter
      Pages 123-123
    2. Bruno Forte, Franklin Mendivil, Edward R. Vrscay
      Pages 125-138
    3. Serge Dubuc, Jun Li
      Pages 139-151
  5. Fractional Calculus

    1. Front Matter
      Pages 153-153
    2. Massimiliano Giona
      Pages 155-170
    3. Kiran M. Kolwankar, Anil D. Gangal
      Pages 171-181
  6. Physical Sciences

    1. Front Matter
      Pages 183-183
    2. Luis E. Vallejo, Ann Stewart Murphy
      Pages 229-243
    3. Hervé Aubert, Dwight L. Jaggard
      Pages 245-259
  7. Chemical Engineering

    1. Front Matter
      Pages 261-261
    2. Gianina Dobrescu, Camelia Obreja, Mircea Rusu
      Pages 277-289
  8. Image Compression

About these proceedings

Introduction

Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it has become necessary to gather the most recent advances on a regular basis. This book is a continuation of the first volume - published in 1997 - but contains interesting developments. A major point is that mathematics has become more and more involved in the definition and use of fractal models. It seems that the time of the qualitative observation of fractal phenomena has gone. Now the main models are strongly based upon theoretical arguments. Fractals: Theory and Applications in Engineering is a multidisciplinary book which should interest every scientist working in areas connected to fractals.

Keywords

Wavelet algorithm algorithms calculus chemical engineering differential equation maximum operator polymer scaling wavelets

Editors and affiliations

  • Michel Dekking
    • 1
  • Jacques Lévy Véhel
    • 2
  • Evelyne Lutton
    • 2
  • Claude Tricot
    • 3
  1. 1.Faculty of Technical Mathematics aus SCDelft University of TechnologyDelftThe Netherlands
  2. 2.INRIALe Chesnay CedexFrance
  3. 3.Université Blaise PascalDépartement MathématiquesAubière CedexFrance

Bibliographic information