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 coveringmany of the most recent developments, like Schramm-Loewner evolution, fractalscaling 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. One of the few collectionsdedicated specifically to fractal geometry Cross-discipline approach between fractal geometry and probability Survey articles by leading experts INDICE: Key topics: Heat semigroups in metric measure spaces.- Schramm-Loewner evolution and multifractal analysis.- Random trees and graphs, dynamical percolation.- Random walks on self-similar groups.- Fractal processes and superprocesses.- Iterated function schemes and transformations of fractals.
- ISBN: 978-3-0346-0029-3
- Editorial: Birkhaüser
- Encuadernacion: Cartoné
- Páginas: 250
- Fecha Publicación: 01/09/2009
- Nº Volúmenes: 1
- Idioma: Inglés