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E-grāmata: Benoit Mandelbrot: A Life In Many Dimensions

Edited by (Fractal Antenna Systems, Inc, Usa), Edited by (Yale Univ, Usa)
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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.
Contributors ix
Preface xv
Michael Frame
Preface xix
Nathan Cohen
Chapter 1 Watching Benoit at work
1(4)
Aliette Mandelbrot
Chapter 2 Benoit Mandelbrot: nor does lightning travel in a straight line
5(26)
Michael Frame
Chapter 3 Irregularities and scaling in signal and image processing: multifractal analysis
31(86)
Patrice Abry
Stephane Jaffard
Herwig Wendt
Chapter 4 Three-dimensional fractal homeomorphisms
117(26)
Michael F. Barnsley
Brendan Harding
Chapter 5 Mandelbrot's cascades: a legendary destiny
143(30)
Julien Barral
Jacques Peyriere
Chapter 6 Benoit Mandelbrot and art
173(8)
Javier Barrallo
Chapter 7 The nature of fractal music
181(26)
Harlan J. Brothers
Chapter 8 Fractal antenna and fractal resonator primer
207(22)
Nathan Cohen
Chapter 9 Fractal-based wideband invisibility cloak
229(10)
Nathan Cohen
Obinna Okoro
Dan Earle
Phil Salkind
Barry Unger
Sean Yen
Daniel McHugh
Stefan Polterzycki
A. J. Shelman-Cohen
Chapter 10 From fractional Brownian motion to multifractional and multistable motion
239(18)
Kenneth Falconer
Chapter 11 Watching the markets misbehave
257(10)
Richard L. Hudson
Chapter 12 Partition zeta functions, multifractal spectra, and tapestries of complex dimensions
267(56)
Kate E. Ellis
Michel L. Lapidus
Michael C. Mackenzie
John A. Rock
Chapter 13 Benoit Mandelbrot, films, and me: a tribute
323(14)
Nigel Lesmoir-Gordon
Chapter 14 Fractals and humor
337(2)
Demetri Martin
Chapter 15 Multifractal measures of time series: curvature surfaces of ƒ(α) curves
339(28)
William Martino
Michael Frame
Chapter 16 Benoit Mandelbrot, educator
367(14)
Nial Neger
Harlan J. Brothers
Chapter 17 The art of roughness
381(18)
Emer O'Daly
Chapter 18 Long-range dependence of the two-dimensional Ising model at critical temperature
399(42)
Vladas Pipiras
Murad S. Taqqu
Chapter 19 Benoit Mandelbrot, W. H. Freeman, and the launch of The Fractal Geometry of Nature
441(8)
Peter Renz
Chapter 20 Math and physics: Levy flights and drives
449(10)
Michael Shlesinger
Chapter 21 Benoit Mandelbrot in finance
459(12)
Christian Walter
Chapter 22 How Benoit Mandelbrot changed my thinking about biological form
471(18)
Ewald R. Weibel
Chapter 23 Entropic origin of allometry relations
489(12)
Bruce J. West
Damien West
Chapter 24 Music and fractals
501(6)
Charles Wuorinen
Chapter 25 Stories about Benoit
507(36)
Chapter 26 Some final thoughts
543(4)
Michael Frame
Index 547