Fractal Geometry and Stochastics IV

  • Christoph Bandt
  • Martina Zähle
  • Peter Mörters

Part of the Progress in Probability book series (PRPR, volume 61)

Table of contents

  1. Front Matter
    Pages i-x
  2. Analysis on Fractals

    1. Front Matter
      Pages 1-1
    2. Alexander Grigor’yan, Jiaxin Hu, Ka-Sing Lau
      Pages 3-44
    3. Vadim A. Kaimanovich
      Pages 45-70
  3. Conformal Dynamics and Schramm-Loewner Evolution

    1. Front Matter
      Pages 71-71
  4. Random Fractal Processes

    1. Front Matter
      Pages 109-109
  5. Emergence of Fractals in Complex Systems

    1. Front Matter
      Pages 143-143
    2. Jeffrey E. Steif
      Pages 145-174
    3. Grégory Miermont
      Pages 197-224
  6. Iterated Function Schemes and Transformations of Fractals

    1. Front Matter
      Pages 225-225
    2. Michael F. Barnsley
      Pages 227-250
    3. Maki Furukado, Shunji Ito, Hui Rao
      Pages 251-268
    4. Michel Dekking
      Pages 269-284
  7. Back Matter
    Pages 285-290

About these proceedings

Introduction

Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance.

This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.

Keywords

Chaos Dynamical Systems Fractals Harmonic Analysis Lévy process Random Walk Schramm-Loewner evolution Stochastic Processes random measure

Editors and affiliations

  • Christoph Bandt
    • 1
  • Martina Zähle
    • 2
  • Peter Mörters
    • 3
  1. 1.Institut für Mathematik und InformatikErnst-Moritz-Arndt-UniversitätGreifswaldGermany
  2. 2.Mathematisches InstitutFriedrich-Schiller-UniversitätJenaGermany
  3. 3.Department of Mathematical SciencesUniversity of BathBathUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0346-0030-9
  • Copyright Information Birkhäuser Basel 2009
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0346-0029-3
  • Online ISBN 978-3-0346-0030-9
  • About this book