Recent Developments in Fractals and Related Fields

  • Julien Barral
  • Stéphane Seuret
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Geometric Measure Theory and Multifractals

    1. Front Matter
      Pages 1-1
    2. Stéphane Jaffard, Samuel Nicolay
      Pages 19-34
    3. Esa Järvenpää
      Pages 35-43
    4. Antti Käenmäki
      Pages 45-54
    5. Jörg Schmeling, Pablo Shmerkin
      Pages 55-72
    6. Steffen Winter
      Pages 73-89
  3. Harmonic and Functional Analysis and, Signal Processing

    1. Front Matter
      Pages 91-91
  4. Harmonic and Functional Analysis and Signal Processing.

    1. Aline Bonami, Szilárd Gy. Révész
      Pages 107-129
    2. Henning Kempka
      Pages 191-201
    3. Michel Mendès France, Ahmed Sebbar
      Pages 203-206
    4. Dominique Pastor, Abdourrahmane M. Atto
      Pages 207-232
  5. Dynamical Systems and Analysis on Fractals

    1. Front Matter
      Pages 233-233
  6. Dynamical Systems and Analysis on Fractals.

    1. Christoph Bandt
      Pages 235-249
    2. Ai Hua Fan, Thomas Langlet, Bing Li
      Pages 251-266

About this book

Introduction

This book—an outgrowth of an international conference held in honor of Jacques Peyrière—provides readers with an overview of recent developments in the mathematical fields related to fractals. Included are original research contributions as well as surveys written by experts in their respective fields.

The chapters are thematically organized into five major sections:

• Geometric Measure Theory and Multifractals;

• Harmonic and Functional Analysis and Signal Processing;

• Dynamical Systems and Analysis on Fractals;

• Stochastic Processes and Random Fractals;

• Combinatorics on Words.

Recent Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Contributors:

J.-P. Allouche, A.M. Atto, J.-M. Aubry, F. Axel, A. Ayache, C. Bandt, F. Bastin, P.R. Bertrand, A. Bonami, G. Bourdaud, Z. Buczolich, M. Clausel, Y. Demichel, X.-H. Dong, A. Durand, A.H. Fan, U.R. Freiberg, S. Jaffard, E. Järvenpää, A. Käenmäki, A. Karoui, H. Kempka, T. Langlet, K.-S. Lau, B. Li, M.M. France, S. Nicolay, E. Olivier, D. Pastor, H. Rao, S.Gy. Révész, J. Schmeling, A. Sebbar, P. Shmerkin, E.C. Waymire, Z.-X. Wen, Z.-Y. Wen, S.C. Williams, S. Winter

Keywords

Brownian motion Martingale analysis on fractals combinatorics on words ergodic theory and dynamical systems fractional Brownian motion functional analysis geometric measure theory harmonic analysis linear optimization mixing stochastic process stochastic processes

Editors and affiliations

  • Julien Barral
    • 1
  • Stéphane Seuret
    • 2
  1. 1.Département de MathématiquesLAGA (UMR CNRS 7539)VilletaneuseFrance
  2. 2.Université Paris-EstLaboratoire d'Analyse et de MathématiqueCRETEIL CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4888-6
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4887-9
  • Online ISBN 978-0-8176-4888-6
  • About this book