Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, Volume 1

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American Mathematical Society, 2004 - 1091 pages
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This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

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About the author (2004)

Benoit Mandelbrot is the Abraham Robinson Professor of Mathematical Sciences at Yale University and IBM Fellow Emeritus at the IBM T.J. Watson Research Center.

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