Benoit Mandelbrot

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. 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 BenoitSome 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. Key Features:The chapters are by people who worked directly with Benoit, thus containing some personal stories about those collaborationsChapters range from technical expositions of complex fractal dimensions, through descriptions of practical applications in chemical and electrical engineering, to stories about working with Benoit on a film projectChapters on fractals in education will be of interest to mathematics teachers, the largest group of people who use fractalsKeywords:Nonlinear Science;Complex Systems