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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