Fractal geometry is used to model complicated natural and
technical phenomena in various disciplines like physics, biology,
finance, and medicine. Since most convincing models contain an
element of randomness, stochastics enters the area in a natural
way. This book documents the establishment of fractal geometry as a
substantial mathematical theory. As in the previous volumes, which
appeared in 1998 and 2000, leading experts known for clear
exposition were selected as authors. They survey their field of
expertise, emphasizing recent developments and open problems. Main
topics include multifractal measures, dynamical systems, stochastic
processes and random fractals, harmonic analysis on fractals.
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