Editors:
- 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)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (10 papers)
-
Front Matter
-
Analysis on Fractals
-
Front Matter
-
-
Conformal Dynamics and Schramm-Loewner Evolution
-
Front Matter
-
-
Random Fractal Processes
-
Front Matter
-
-
Emergence of Fractals in Complex Systems
-
Front Matter
-
-
Iterated Function Schemes and Transformations of Fractals
-
Front Matter
-
-
Back Matter
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
Book Title: Fractal Geometry and Stochastics IV
Editors: Christoph Bandt, Martina Zähle, Peter Mörters
Series Title: Progress in Probability
DOI: https://doi.org/10.1007/978-3-0346-0030-9
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2009
Hardcover ISBN: 978-3-0346-0029-3Published: 14 August 2009
eBook ISBN: 978-3-0346-0030-9Published: 08 January 2010
Series ISSN: 1050-6977
Series E-ISSN: 2297-0428
Edition Number: 1
Number of Pages: X, 290
Topics: Geometry, Probability Theory and Stochastic Processes