Fractal Geometry and Stochastics IV

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bandt, Christoph (Editor), Zähle, Martina (Editor), Mörters, Peter (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Progress in Probability ; 61
• Subjects: Mathematics.; Geometry.; Probabilities.; Probability Theory and Stochastic Processes.

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 b...

Table of Contents:

• Analysis on Fractals
• Heat Kernels on Metric Spaces with Doubling Measure
• Self-similarity and Random Walks
• Conformal Dynamics and Schramm-Loewner Evolution
• Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution
• Random Fractal Processes
• From Fractals and Probability to Lévy Processes and Stochastic PDEs
• Emergence of Fractals in Complex Systems
• A Survey of Dynamical Percolation
• Measure-valued Processes, Self-similarity and Flickering Random Measures
• Random Maps and Their Scaling Limits
• Iterated Function Schemes and Transformations of Fractals
• Transformations Between Fractals
• Geometric Realizations of Hyperbolic Unimodular Substitutions
• Random Cantor Sets and Their Projections.