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Further Developments in Fractals and Related Fields

Mathematical Foundations and Connections

  • Julien Barral
  • Stéphane Seuret

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Pierre Arnoux, Štěpán Starosta
    Pages 1-23
  3. Vasilis Chousionis, Pertti Mattila
    Pages 47-61
  4. Arnaud Durand, Stéphane Jaffard
    Pages 63-113
  5. Kenneth Falconer
    Pages 115-134
  6. Ai-hua Fan, Jörg Schmeling, Meng Wu
    Pages 135-151
  7. Lars Olsen
    Pages 161-191
  8. Shen Fan, Qing-Hui Liu, Zhi-Ying Wen
    Pages 235-254

About this book

Introduction

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.

The chapters cover fields related to fractals such as:

*geometric measure theory

*ergodic theory

*dynamical systems

*harmonic and functional analysis

*number theory

*probability theory

Further 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.

Keywords

analysis on fractals ergodic theory and dynamical systems functional analysis geometric measure theory harmonic analysis multifractals

Editors and affiliations

  • Julien Barral
    • 1
  • Stéphane Seuret
    • 2
  1. 1., LAGAUniversité Paris 13VilletaneuseFrance
  2. 2., Laboratoire d'Analyse et de MathématiqueUniversité Paris-Est Créteil - Val de MaCréteil CedexFrance

Bibliographic information

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