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Fractal Geometry and Stochastics III

  • Christoph Bandt
  • Umberto Mosco
  • Martina Zähle

Part of the Progress in Probability book series (PRPR, volume 57)

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Andrzej Lasota, Józef Myjak, Tomasz Szarek
      Pages 3-22
    3. Jacques Lévy Véhel, Claude Tricot
      Pages 23-42
  3. Fractals and Dynamical Systems

    1. Front Matter
      Pages 57-57
    2. Albert M. Fisher
      Pages 59-78
    3. Amiran Ambroladze, Jörg Schmeling
      Pages 109-116
  4. Stochastic Processes and Random Fractals

  5. Fractal Analysis in Euclidean Space

    1. Front Matter
      Pages 171-171
  6. Harmonic Analysis on Fractals

About these proceedings

Introduction

Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models contain an element of randomness, stochastics enters the area in a natural way. This book documents the establishment of fractal geometry as a substantial mathematical theory. As in the previous volumes, which appeared in 1998 and 2000, leading experts known for clear exposition were selected as authors. They survey their field of expertise, emphasizing recent developments and open problems. Main topics include multifractal measures, dynamical systems, stochastic processes and random fractals, harmonic analysis on fractals.

Keywords

Chaos Dirichlet form Dynamical Systems Fractals Harmonic Analysis Lévy process Measure Stochastic Processes stochastic process

Editors and affiliations

  • Christoph Bandt
    • 1
  • Umberto Mosco
    • 2
  • Martina Zähle
    • 3
  1. 1.Institut für Mathematik und InformatikErnst-Moritz-Arndt-UniversitätGreifswaldGermany
  2. 2.Department of PhysicsUniversity of Rome La SapienzaRomaItaly
  3. 3.Mathematisches InstitutFriedrich-Schiller-UniversitätJenaGermany

Bibliographic information