Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Fractal Geometry and Stochastics IV

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Christoph Bandt

    1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Martina Zähle

    1. Mathematisches Institut, Friedrich-Schiller-Universität, Jena, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Peter Mörters

    1. Department of Mathematical Sciences, University of Bath, Bath, UK

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • One of the few collections dedicated specifically to fractal geometry
  • Cross-discipline approach between fractal geometry and probability
  • Survey articles by leading experts
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Analysis on Fractals

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Heat Kernels on Metric Spaces with Doubling Measure

      • Alexander Grigor’yan, Jiaxin Hu, Ka-Sing Lau
      Pages 3-44

    3. Self-similarity and Random Walks

      • Vadim A. Kaimanovich
      Pages 45-70

  3. Conformal Dynamics and Schramm-Loewner Evolution

    1. Front Matter

      Pages 71-71
      Download chapter PDF

    2. Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution

      • Gregory F. Lawler
      Pages 73-107

  4. Random Fractal Processes

    1. Front Matter

      Pages 109-109
      Download chapter PDF

    2. From Fractals and Probability to Lévy Processes and Stochastic PDEs

      • Davar Khoshnevisan
      Pages 111-141

  5. Emergence of Fractals in Complex Systems

    1. Front Matter

      Pages 143-143
      Download chapter PDF

    2. A Survey of Dynamical Percolation

      • Jeffrey E. Steif
      Pages 145-174

    3. Measure-valued Processes, Self-similarity and Flickering Random Measures

      • Jochen Blath
      Pages 175-196

    4. Random Maps and Their Scaling Limits

      • Grégory Miermont
      Pages 197-224

  6. Iterated Function Schemes and Transformations of Fractals

    1. Front Matter

      Pages 225-225
      Download chapter PDF

    2. Transformations Between Fractals

      • Michael F. Barnsley
      Pages 227-250

    3. Geometric Realizations of Hyperbolic Unimodular Substitutions

      • Maki Furukado, Shunji Ito, Hui Rao
      Pages 251-268

    4. Random Cantor Sets and Their Projections

      • Michel Dekking
      Pages 269-284

  7. Back Matter

    Pages 285-290
    Download chapter PDF
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, Germany

    Christoph Bandt

  • Mathematisches Institut, Friedrich-Schiller-Universität, Jena, Germany

    Martina Zähle

  • Department of Mathematical Sciences, University of Bath, Bath, UK

    Peter Mörters

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation