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Fractal Geometry and Stochastics II

  • Christoph Bandt
  • Siegfried Graf
  • Martina Zähle

Part of the Progress in Probability book series (PRPR, volume 46)

Table of contents

  1. Front Matter
    Pages i-x
  2. Fractal Sets and Measures

    1. Front Matter
      Pages 1-1
    2. L. Olsen
      Pages 3-37
    3. Yuval Peres, Wilhelm Schlag, Boris Solomyak
      Pages 39-65
  3. Iterated Function Systems

    1. Front Matter
      Pages 67-67
    2. Manuel Moran
      Pages 69-93
    3. Yuval Peres, Boris Solomyak
      Pages 95-106
  4. Stochastic Processes and Random Fractals

    1. Front Matter
      Pages 107-107
    2. John E. Hutchinson, Ludger Rüschendorf
      Pages 109-123
    3. Jean-Pierre Kahane
      Pages 125-146
  5. Fractals and Dynamical Systems

  6. Harmonic Analysis on Fractals

  7. Back Matter
    Pages 285-292

About these proceedings

Introduction

The second conference on Fractal Geometry and Stochastics was held at Greifs­ wald/Koserow, Germany from August 28 to September 2, 1998. Four years had passed after the first conference with this theme and during this period the interest in the subject had rapidly increased. More than one hundred mathematicians from twenty-two countries attended the second conference and most of them presented their newest results. Since it is impossible to collect all these contributions in a book of moderate size we decided to ask the 13 main speakers to write an account of their subject of interest. The corresponding articles are gathered in this volume. Many of them combine a sketch of the historical development with a thorough discussion of the most recent results of the fields considered. We believe that these surveys are of benefit to the readers who want to be introduced to the subject as well as to the specialists. We also think that this book reflects the main directions of research in this thriving area of mathematics. We express our gratitude to the Deutsche Forschungsgemeinschaft whose financial support enabled us to organize the conference. The Editors Introduction Fractal geometry deals with geometric objects that show a high degree of irregu­ larity on all levels of magnitude and, therefore, cannot be investigated by methods of classical geometry but, nevertheless, are interesting models for phenomena in physics, chemistry, biology, astronomy and other sciences.

Keywords

Brownian motion Computer Ergodic theory Measure Theory Probability Stochastic processes Theoretical Physics biology calculus computer science dynamische Systeme stochastic process

Editors and affiliations

  • Christoph Bandt
    • 1
  • Siegfried Graf
    • 2
  • Martina Zähle
    • 3
  1. 1.Institut für Mathematik und InformatikErnst-Moritz-Arndt-UniversitätGreifswaldGermany
  2. 2.Fakultät für Mathematik und InformatikUniversität PassauPassauGermany
  3. 3.Mathematisches InstitutFriedrich-Schiller-UniversitätJenaGermany

Bibliographic information

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