This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.
Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.
While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.
Sample Chapter(s)
Chapter 1: Watching Benoit at work (150 KB)
Contents:- Watching Benoit at Work (Aliette Mandelbrot)
- Benoit Mandelbrot: Nor Does Lightning Travel in a Straight Line (Michael Frame)
- Irregularities and Scaling in Signal and Image Processing: Multifractal Analysis (Patrice Abry, Stéphane Jaffard, Herwig Wendt)
- Three-Dimensional Fractal Homeomorphisms (Michael F Barnsley and Brendan Harding)
- Mandelbrot's Cascades: A Legendary Destiny (Julien Barral and Jacques Peyrière)
- Benoit Mandelbrot and Art (Javier Barrallo)
- The Nature of Fractal Music (Harlan J Brothers)
- Fractal Antenna and Fractal Resonator Primer (Nathan Cohen)
- Fractal-Based Wideband Invisibility Cloak (Nathan Cohen, Obinna Okoro, Dan Earle, Phil Salkind, Barry Unger, Sean Yen, Daniel McHugh, Stefan Polterzycki and A J Shelman-Cohen)
- From Fractional Brownian Motion to Multifractional and Multistable Motion (Kenneth Falconer)
- Watching the Markets Misbehave (Richard L Hudson)
- Partition Zeta Functions, multifractal Spectra, and Tapestries of Complex Dimensions (Kate E Ellis, Michel L Lapidus, Michael C Mackenzie and John A Rock)
- Benoit Mandelbrot, Films, and Me: A Tribute (Nigel Lesmoir-Gordon)
- Fractals and Humor (Demetri Martin)
- Multifractal Measures of Time Series: Curvature Surfaces of ƒ(α) Curves (William Martino and Michael Frame)
- Benoit Mandelbrot, Educator (Nial Neger and Harlan J Brothers)
- The Art of Roughness (Emer O'Daly)
- Long-Range Dependence of the Two-Dimensional Ising Model at Critical Temperature (Vladas Pipiras and Murad S Taqqu)
- Benoit Mandelbrot, W H Freeman, and the Launch of The Fractal Geometry of Nature (Peter Renz)
- Math and Physics: Lévy Flights and Drives (Michael Shlesinger)
- Benoit Mandelbrot in Finance (Christian Walter)
- How Benoit Mandelbrot Changed My Thinking about Biological Form (Ewald R Weibel)
- Entropic Origin of Allometry Relations (Bruce J West and Damien West)
- Music and Fractals (Charles Wuorinen)
- Stories about Benoit
- Some Final Thoughts (Michael Frame)
Readership: People interested in the life work of Benoit Mandelbrot. While the technical articles will be accessible mainly to scientists, the range of chapters provides material of interest to a wide range of readers. The audience range from the general public for some parts, through high school and college teachers, to research scientists.-
No Access
Chapter 3: Irregularities and scaling in signal and image processing: multifractal analysis
- Pages:31–116
No AccessChapter 9: Fractal-based wideband invisibility cloak
- Nathan Cohen,
- Obinna Okoro,
- Dan Earle,
- Phil Salkind,
- Barry Unger,
- Sean Yen,
- Daniel McHugh,
- Stefan Polterzycki and
- A. J. Shelman-Cohen
- Pages:229–238
No AccessChapter 10: From fractional Brownian motion to multifractional and multistable motion
- Pages:239–256
No AccessChapter 12: Partition zeta functions, multifractal spectra, and tapestries of complex dimensions
- Pages:267–322
No AccessChapter 15: Multifractal measures of time series: curvature surfaces of f(α) curves
- Pages:339–365
No AccessChapter 18: Long-range dependence of the two-dimensional Ising model at critical temperature
- Pages:399–440
No AccessChapter 19: Benoit Mandelbrot, W. H. Freeman, and the launch of The Fractal Geometry of Nature
- Pages:441–447
"What makes this book unique is that many of the articles spend a lot of time talking about Mandelbrot's personal involvement in these areas. The authors often offer personal glimpses of how their interactions with him led to their advances. This book offers a good overview of the many different areas that Mandelbrot worked in. Many of the articles are aimed at a very wide audience and can be understood by all."
Mathematical Reviews Clippings-
Sample Chapter(s)
Chapter 1: Watching Benoit at work (150 KB)
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