Fractal Geometry and Stochastics IV

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Bandt, Christoph. (Editor), Zh̃le, Martina. (Editor), Mr̲ters, Peter. (Editor)
Format: Electronic
Language:English
Published: Basel : Birkhũser Basel, 2009.
Series:Progress in Probability ; 61
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0346-0030-9
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505 0 # |a 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. 
520 # # |a 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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