Bandt, Christoph, Mörters, Peter, Zähle, Martina (Eds.)
2009, x, 290 p
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One of the few collections dedicated specifically to fractal geometry
Cross-discipline approach between fractal geometry and probability
Survey articles by leading experts
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.
Content Level »Research
Keywords »Chaos - Dynamical Systems - Fractals - Harmonic Analysis - Lévy process - Random Walk - Schramm-Loewner evolution - Stochastic Processes - random measure