Item description for Fractal Geometry and Stochastics II (Progress in Probability) by Christoph Bandt...
The combination of fractal geometry and stochastic methods can be used to create convincing models in many different areas of science such as biology, chemistry, computer science, mathematics and physics. The present book deals with the mathematical theory needed for this purpose. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the field. The contributors were the main speakers at the conference Fractal Geometry and Stochastics II held at Greifswald/Koserow, Germany, in August 1998. The book is addressed to mathematicians and scientists who are interested in any of the following topics: * fractal dimensions * fractal measures and multifractals * self-similar and self-affine fractals * random fractals * stable processes * ergodic theory and dynamical systems * harmonic analysis and stochastic processes on fractals The readers will be introduced to the most recent results and problems on these subjects and also be treated to an overview of their historical development. Both researchers and graduate students will benefit from the clear expositions.
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Est. Packaging Dimensions: Length: 9.5" Width: 6.2" Height: 0.9" Weight: 1.15 lbs.
Release Date Mar 15, 2000
Publisher Birkhäuser Basel
ISBN 3764362154 ISBN13 9783764362157
Availability 106 units. Availability accurate as of Jan 24, 2017 08:15.
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Reviews - What do customers think about Fractal Geometry and Stochastics II (Progress in Probability)?
Pictures and math. Mar 3, 2003
This is a very nice collection of papers: tutorials, and well written research presented to a wide audience. They cover stochastic aspects, geometry, analysis, iterated function systems, algorithms, to mention just a few. And they are written by authorities in the field. Fractals make headlines from time to time[--are they everywhere?], and and they make lovely color pictures; but they are also part of a substantial mathematical theory, one with an exciting mathematical history. This very important book presents the subject in a way that it can be taught to students. Or it can be used for selfstudy! In view of the many applications to geometric analysis, to PDE, and to statistics, it is likely that fractal geometry will soon be a standard math course taught in many (more) math departments. A recent example of this: By now it is widely recognized that the selfsimilarity aspects of the wavelet algorithms are key to their sucess. The authors have produced an attractive book on fractals. There are others, for example one by Falconer from 1985[The geometry of fractal sets] with a slightly more potential theoretic bent.