**Proceedings of Symposia in Pure Mathematics**

Volume: 72;
2004;
574 pp;
Hardcover

MSC: Primary 28; 11; 37; 60; 68; 82;

Print ISBN: 978-0-8218-3638-5

Product Code: PSPUM/72.2

List Price: $120.00

Individual Member Price: $96.00

**Electronic ISBN: 978-0-8218-9378-4
Product Code: PSPUM/72.2.E**

List Price: $120.00

Individual Member Price: $96.00

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# Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot: Multifractals, Probability and Statistical Mechanics, Applications

Share this page *Edited by *
*Michel L. Lapidus; Machiel van Frankenhuijsen*

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.

#### Table of Contents

# Table of Contents

## Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot: Multifractals, Probability and Statistical Mechanics, Applications

- Contents–Part 2 vi7 free
- Preface ix10 free
- List of Tributes xi12 free
- Multifractals 114 free
- Introduction to infinite products of independent random functions (Random multiplicative multifractal measures, Part I) 316
- Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures, Part II) 1730
- Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures, Part III) 5366
- Wavelet techniques in multifractal analysis 91104
- The 2-microlocal formalism 153166
- A vectorial multifractal formalism 217230

- Probability and Statistical Mechanics 231244
- Applications 483496

#### Readership

Graduate students and research mathematicians interested in fractal geometry and its applications.