Fractal Geometry and Stochastics

  • Christoph Bandt
  • Siegfried Graf
  • Martina Zähle

Part of the Progress in Probability book series (PRPR, volume 37)

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Kenneth J. Falconer
      Pages 3-13
  3. Iterated Function Systems

    1. Front Matter
      Pages 53-53
  4. Random Fractals

  5. Fractals and Dynamical Systems

    1. Front Matter
      Pages 165-165
    2. Manfred Denker
      Pages 167-178
    3. Mariusz Urbański, Alexander Volberg
      Pages 179-187
  6. Harmonic Analysis on Fractals

    1. Front Matter
      Pages 189-189
    2. Palle E. T. Jorgensen, Steen Pedersen
      Pages 191-219
  7. Back Matter
    Pages 239-248

About these proceedings


Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.


Peak dynamical systems dynamische Systeme fractal fractal geometry geometry mathematics medicine model stochastics

Editors and affiliations

  • Christoph Bandt
    • 1
  • Siegfried Graf
    • 2
  • Martina Zähle
    • 3
  1. 1.Fachbereich Mathematik und InformatikErnst-Moritz-Arndt-UniversitätGreifswaldDeutschland
  2. 2.Fakultät für Mathematik und InformatikUniversität PassauPassauDeutschland
  3. 3.Fakultät für Mathematik und InformatikFriedrich-Schiller-UniversitätJenaDeutschland

Bibliographic information