Progress in Probability

Fractal Geometry and Stochastics IV

Editors: Bandt, Christoph, Mörters, Peter, Zähle, Martina (Eds.)

  • One of the few collections dedicated specifically to fractal geometry
  • Cross-discipline approach between fractal geometry and probability
  • Survey articles by leading experts
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eBook $139.00
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  • ISBN 978-3-0346-0030-9
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Hardcover $179.00
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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.

Table of contents (10 chapters)

  • Heat Kernels on Metric Spaces with Doubling Measure

    Grigor’yan, Alexander (et al.)

    Pages 3-44

  • Self-similarity and Random Walks

    Kaimanovich, Vadim A.

    Pages 45-70

  • Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution

    Lawler, Gregory F.

    Pages 73-107

  • From Fractals and Probability to Lévy Processes and Stochastic PDEs

    Khoshnevisan, Davar

    Pages 111-141

  • A Survey of Dynamical Percolation

    Steif, Jeffrey E.

    Pages 145-174

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-0346-0030-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-0346-0029-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fractal Geometry and Stochastics IV
Editors
  • Christoph Bandt
  • Peter Mörters
  • Martina Zähle
Series Title
Progress in Probability
Series Volume
61
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0346-0030-9
DOI
10.1007/978-3-0346-0030-9
Hardcover ISBN
978-3-0346-0029-3
Series ISSN
1050-6977
Edition Number
1
Number of Pages
X, 290
Topics