Progress in Probability

By: Christoph Bandt (Editor), Peter MÃ¶rters (Editor), Martina ZÃ¤hle (Editor)

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Hardcover | 14 August 2009

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304 Pages

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24.13 x 16.51 x 1.91

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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.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Stochastics Probability & Statistics Geometry Fractal Geometry

Preface	p. vii
Introduction	p. ix
Analysis on Fractals
Heat Kernels on Metric Spaces with Doubling Measure	p. 3
Self-similarity and Random Walks	p. 45
Conformal Dynamics and Schramm-Loewner Evolution
Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution	p. 73
Random Fractal Processes
From Fractals and Probability to Lévy Processes and Stochastic PDEs	p. 111
Emergence of Fractals in Complex Systems
A Survey of Dynamical Percolation	p. 145
Measure-valued Processes, Self-similarity and Flickering Random Measures	p. 175
Random Maps and Their Scaling Limits	p. 197
Iterated Function Schemes and Transformations of Fractals
Transformations Between Fractals	p. 227
Geometric Realizations of Hyperbolic Unimodular Substitutions	p. 251
Random Cantor Sets and Their Projections	p. 269
Appendix	p. 285
Table of Contents provided by Ingram. All Rights Reserved.

Progress in Probability

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Hardcover

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