Benoit Mandelbrot
description: a mathematician known for his work on fractals
99 results
The Misbehavior of Markets: A Fractal View of Financial Turbulence
by Benoit Mandelbrot and Richard L. Hudson · 7 Mar 2006 · 364pp · 101,286 words
M. Gruskin, H. Kanzer, and M. Logan. PRELUDE by Richard L. Hudson Introducing a Maverick in Science INDEPENDENCE IS A GREAT VIRTUE. To illustrate that, Benoit Mandelbrot relates how, during the German occupation of France in World War II, his father escaped death. One day, a band of Resistance fighters attacked the
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.: Berkshire Hathaway Inc. Burton, Jonathan. 1998. Revisiting the capital asset pricing model. Dow Jones Asset Manager May-June: 20-28. Calvet, Laurent, Adlai Fisher, and Benoit Mandelbrot. 1997. Large deviations and the distribution of price changes. Cowles Foundation Discussion Paper 1165 (September). Calvet, Laurent and Adlai Fisher. 2002. Multifractality in asset returns
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Research Foundation. 2003. Valuing Employee Stock Options: A Comparison of Alternative Models. Research report available at: http://www.ferf.org. Fisher, Adlai, Laurent Calvet, and Benoit Mandelbrot. 1997. Multifractality of Deutschemark/US dollar exchange rates. Cowles Foundation Discussion Paper 1166. Frame, Michael and Benoit B. Mandelbrot. 2002. Fractals, Graphics and Mathematics Education
The Fractalist
by Benoit Mandelbrot · 30 Oct 2012
Copyright © 2012 by The Estate of Benoit Mandelbrot Afterword copyright © by Michael Frame All rights reserved. Published in the United States by Pantheon Books, a division of Random House, Inc., New York, and
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colophon are registered trademarks of Random House, Inc. Library of Congress Cataloging-in-Publication Data Mandelbrot, Benoit B. The fractalist : memoir of a scientific maverick / Benoit Mandelbrot. p. cm. eISBN: 978-0-307-37860-6 1. Mandelbrot, Benoit B. 2. Mathematicians—France—Biography. 3. Fractals. I. Title. QA29.M34A3 2012 510.92
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—dc22 [B] 2012017896 www.pantheonbooks.com Cover image Benoit Mandelbrot. Emilio Segre Visual Archives/American Institute of Physics/Photo Researchers, Inc. Cover design by Peter Mendelsund v3.1 My long, meandering ride through life has
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from its dangerously conspicuous summa to an adequate magna. One day, a student approached. “I hear that you come from Tulle. You must have known Benoit Mandelbrot.” “Of course, of course, I know him well.” “Is it true that he is un crack who got a summa at the bachot?” Back in
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the École Polytechnique to the general commanding the armed forces in Paris. They knew each other, and the letter said: “Dear Friend. A graduating student, Benoit Mandelbrot, needs an exit visa to take a scholarship in the United States. His military record looks ridiculously complicated. I take it upon myself to inform
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mature. And to remain embattled. How come? Perhaps by fluke, but I think mostly for a reason. Afterword Michael Frame, professor of mathematics, Yale University BENOIT MANDELBROT died shortly before he could make final revisions to this memoir. Aliette, his wife of many years, asked me to write this afterword. I hope
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, bm1.20 bm1.21 Courtesy E. R. Weibel, Institute of Anatomy, University of Bern: bm1.13 ABOUT THE AUTHOR A graduate of the École Polytechnique, Benoit Mandelbrot received his doctorate in mathematics from the University of Paris and spent thirty-five years at IBM as a research scientist and seventeen years as
The Physics of Wall Street: A Brief History of Predicting the Unpredictable
by James Owen Weatherall · 2 Jan 2013 · 338pp · 106,936 words
Samuelson and his students, but also in the work of others who, like Bachelier, had come to economics from other fields, such as the mathematician Benoît Mandelbrot and the astrophysicist M.F.M. Osborne. Change was afoot in both the academic and financial worlds that would bring these later prophets the kind
Chaos: Making a New Science
by James Gleick · 18 Oct 2011 · 396pp · 112,748 words
on sand, a shape on the side of a hill. —WALLACE STEVENS “Connoisseur of Chaos” A PICTURE OF REALITY built up over the years in Benoit Mandelbrot’s mind. In 1960, it was a ghost of an idea, a faint, unfocused image. But Mandelbrot recognized it when he saw it, and there
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have seemed apt to anyone who knew him in his later years, with his high imposing brow and his list of titles and honors, but Benoit Mandelbrot is best understood as a refugee. He was born in Warsaw in 1924 to a Lithuanian Jewish family, his father a clothing wholesaler, his mother
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’s work, Scholz was precisely the kind of pragmatic, working scientist most ready to pick up the tools of fractal geometry. He had stumbled across Benoit Mandelbrot’s name in the 1960s, when Mandelbrot was working in economics and Scholz was an M.I.T. graduate student spending a great deal of
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Liebig. Hamilton. Charles Darwin, of course. Virchow. Cantor. Einstein. Minkowski. Von Laue. Alfred Wegener—continental drift. Compton. Just. James Watson—the structure of DNA. And Benoit Mandelbrot. To pure mathematicians, however, Mandelbrot remained an outsider, contending as bitterly as ever with the politics of science. At the height of his success, he
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to float up or down depending on the scale from which they were viewed. It seemed absurd. Yet it was an exact analogue of what Benoit Mandelbrot was realizing about geometrical shapes and the coastline of England. Their length could not be measured independent of scale. There was a kind of relativity
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broadly influential as Yorke’s work, for example. In 1984, Feigenbaum was invited to address the Nobel Symposium in Sweden, and there the controversy swirled. Benoit Mandelbrot gave a wickedly pointed talk that listeners later described as his “antifeigenbaum lecture.” Somehow Mandelbrot had exhumed a twenty-year–old paper on period-doubling
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the Germans invaded Paris, Libchaber was born there, the son of Polish Jews, the grandson of a rabbi. He survived the war the same way Benoit Mandelbrot did, by hiding in the countryside, separated from his parents because their accents were too dangerous. His parents managed to survive; the rest of the
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whole unexplored family of pictures that reflected the behavior of forces in the real world. Michael Barnsley was looking at other members of the family. Benoit Mandelbrot, as both men soon learned, was discovering the granddaddy of all these shapes. BOUNDARIES OF INFINITE COMPLEXITY. When a pie is cut into three slices
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color it black. Soon enough, you will have a shape that consists of a black line from 0 to 1. THE MANDELBROT SET EMERGES. In Benoit Mandelbrot’s first crude computer printouts, a rough structure appeared, gaining more detail as the quality of the computation improved. Were the buglike, floating “molecules” isolated
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essayed.” —HERMAN MELVILLE, Moby-Dick TWO DECADES AGO Edward Lorenz was thinking about the atmosphere, Michel Hénon the stars, Robert May the balance of nature. Benoit Mandelbrot was an unknown IBM mathematician, Mitchell Feigenbaum an undergraduate at the City College of New York, Doyne Farmer a boy growing up in New Mexico
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the Royal Society and chief scientific adviser to the government of the U.K. and, in 2001, was created Baron May of Oxford. As for Benoit Mandelbrot, a “Vita” he published on his Yale Web page in 2006 listed twenty-four awards, prizes, and medals, two decorations, nineteen “diplomas, honoris causa & the
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little; the former is perhaps a bit more historically oriented. For anyone interested in the origins of fractal geometry, the indispensable, encyclopedic, exasperating source is Benoit Mandelbrot, The Fractal Geometry of Nature (New York: Freeman, 1977). The Beauty of Fractals, Heinz-Otto Peitgen and Peter H. Richter (Berlin: Springer-Verlag, 1986), delves
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Joseph Klafter Thomas S. Kuhn Mark Laff Oscar Lanford James Langer Joel Lebowitz Cecil E. Leith Herbert Levine Albert Libchaber Edward N. Lorenz Willem Malkus Benoit Mandelbrot Arnold Mandell Syukuro Manabe Arnold J. Mandell Philip Marcus Paul C. Martin Robert M. May Francis C. Moon Jürgen Moser David Mumford Michael Nauenberg Norman
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Mathematical Models,” p. 467. “THE MATHEMATICAL INTUITION” Ibid. A GEOMETRY OF NATURE A PICTURE OF REALITY Mandelbrot, Gomory, Voss, Barnsley, Richter, Mumford, Hubbard, Shlesinger. The Benoit Mandelbrot bible is The Fractal Geometry of Nature (New York: Freeman, 1977). An interview by Anthony Barcellos appears in Mathematical People, ed. Donald J. Albers and
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SOMETHING Smale. THE FIELD DEVELOPS Peitgen. PIONEER-BY–NECESSITY “Second Stage,” p. 5. THIS HIGHLY ABSTRACT Mandelbrot; Fractal Geometry, p. 74; J. M. Berger and Benoit Mandelbrot, “A New Model for the Clustering of Errors on Telephone Circuits,” IBM Journal of Research and Development 7 (1963), pp. 224–36. THE JOSEPH EFFECT
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in crucial ways. Among those who contributed to the illustrations in these pages were Heinz-Otto Peitgen, Peter Richter, James Yorke, Leo Kadanoff, Philip Marcus, Benoit Mandelbrot, Jerry Gollub, Harry Swinney, Arthur Winfree, Bruce Stewart, Fereydoon Family, Irving Epstein, Martin Glicksman, Scott Burns, James Crutchfield, John Milnor, Richard Voss, Nancy Sterngold, and
Mapmatics: How We Navigate the World Through Numbers
by Paulina Rowinska · 5 Jun 2024 · 361pp · 100,834 words
B. Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies. New York: Penguin Press, 2017. Benoit Mandelbrot and Fractals Gleick, James. Chaos: Making a New Science. New York: Viking, 1987. Lesmoir-Gordon, Nigel, ed. The Colours of Infinity: The Beauty and Power
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. Mandelbrot, Benoît. ‘Drawing; The Ability to Think in Pictures and Its Continuing Influence’. Web of Stories videos, 24 January 2008, https://www.webofstories.com/play/benoit.mandelbrot/8. Coastline Paradox Stoa, Ryan B. ‘The Coastline Paradox’. Rutgers University Law Review 72, no. 2 (Winter 2019): 351–400. 4. Distanced Underground Map Guo
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, November/December 2004, http://archives.yalealumnimagazine.com/issues/2004_11/mandelbrot.html. took care of his education: John J. O’Connor and Edmund F. Robertson, ‘Benoit Mandelbrot’, MacTutor (Maths History), School of Mathematics and Statistics, University of St Andrews, July 1999, https://mathshistory.st-andrews.ac.uk/Biographies/Mandelbrot/. the École Polytechnique
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: Benoît Mandelbrot, ‘École Normale and Thought in Mathematics’, Web of Stories video, 24 January 2008, https://www.webofstories.com/play/benoit.mandelbrot/16. (and getting married in the meantime): Nigel Lesmoir-Gordon, ‘Benoît Mandelbrot Obituary’, The Guardian, 17 October 2010. very complicated and very simple
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at the same time: Benoit Mandelbrot, ‘Fractals and the Art of Roughness’, TED Talks video, February 2010, https
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://www.ted.com/talks/benoit_mandelbrot_fractals_and_the_art_of_roughness?language=en. no possible
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’, Annual Review of Fluid Mechanics 30, no. 1 (January 1998): xiii–xxxvi, https://doi.org/10.1146/annurev.fluid.30.1.0. incomprehensible modern monographs?: ‘Benoit Mandelbrot’, interview by Anthony Barcellos, in Mathematical People: Profiles and Interviews, ed. Donald J. Albers and Gerald L. Alexanderson, 2nd ed. (Wellesley, MA: A. K. Peters
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. looks over Rio de Janeiro from ‘41204668869’: S2 Region Coverer Online Viewer, accessed 4 February 2024, https://igorgatis.github.io/ws2/?cells=00997fd59c5. purposefully incomprehensible: Benoit Mandelbrot, ‘How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension’, Science 156, no. 3775 (5 May 1967): 636–8, https://doi.org
The Myth of the Rational Market: A History of Risk, Reward, and Delusion on Wall Street
by Justin Fox · 29 May 2009 · 461pp · 128,421 words
price series that he had criticized Maurice Kendall for bothering to study. He brought this avocation with him to Harvard, where one day in 1960 Benoit Mandelbrot came calling. Mandelbrot was a mathematician who had emigrated from France to work at IBM’s research center in Yorktown Heights, New York, studying—like
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them. With this experience he gravitated toward the random walk work begun by statistics professor Harry Roberts. He also hooked up with wandering IBM mathematician Benoit Mandelbrot. His first published work was a Mandelbrot-guided exploration of the statistical distribution of stock price changes. Fama stayed on for his doctorate, and under
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zero—as they would in a true bell curve. The tendency of fat-tail events to follow upon one another is called dependence. IBM MATHEMATICIAN BENOIT MANDELBROT SAW fat tails and dependence in a chart of cotton futures prices at Harvard in 1960. Mandelbrot was a Polish Jew who had emigrated to
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the search for better models of volatility was now on in earnest. One starting point was the statistical framework assembled twenty-five years before by Benoit Mandelbrot. Mandelbrot hadn’t predicted black Monday. He hadn’t written anything about finance in years. But anyone who had studied his market writings from the
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of the millennium, all he was really espousing was the old random walk. Or not even quite that since, as a one-time protégé of Benoit Mandelbrot, he knew as well as anybody that markets didn’t really follow a random walk. He was simply saying that market movements were hard to
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several papers with mainstream finance scholars and launching a new journal, Quantitative Finance, that included Robert Merton and Myron Scholes (along with Kenneth Arrow and Benoit Mandelbrot) on its advisory board. But his work has yet to really penetrate the academic mainstream either.30 Still, even as they resist the incursions from
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Malkiel Princeton economist and former Wall Street investment banker whose 1973 book, A Random Walk Down Wall Street, popularized the new academic approach to investing. Benoit Mandelbrot Legendary Polish-French mathematician who was a key member of the group of scholars studying stock market random walks in the 1960s, but whose observations
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, David Laibson, Josef Lakonishok, Dean LeBaron, Marty Leibowitz, David Leinweber, Hayne Leland, Baruch Lev, Stan Levine, Arthur Lipper III, Andrew Lo, James Lorie, Louis Lowenstein, Benoit Mandelbrot, Henry Manne, Harry Markowitz, Paul Marsh, Mac McQuown, Robert Merton, Arnold Moore, William Niskanen, Terrance Odean, John O’Brien, Charles Plott, S. J. Prais, Alfred
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./Oct. 1976): 20–23. CHAPTER 8: FISCHER BLACK CHOOSES TO FOCUS ON THE PROBABLE 1. Mandelbrot tells the story of encountering Zipf’s work in Benoit Mandelbrot and Richard L. Hudson, The (Mis)behavior of Markets: A Fractal View of Risk, Ruin, and Reward (New York: Basic Books, 2004), 150–59. The
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. C. Willis and G. U. Yule, “Some Statistics of Evolution and Geographical Distribution in Plants and Animals, and Their Significance,” Nature (1922): 177–179. 3. Benoit Mandelbrot, “Forecasts of Future Prices, Unbiased Markets, and ‘Martingale’ Models, Journal of Business (Jan. 1966): 242–55. 4. Paul Cootner, The Random Character of Stock Prices
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Makes Stock Prices Move?” 72. 13. Jens Carsten Jackwerth and Mark Rubinstein, “Recovering Probability Distributions from Equity Prices,” Journal of Finance (Dec. 1996): 2. 14. Benoit Mandelbrot, interview with the author. 15. Gregg A. Jarrell, “En-Nobeling Financial Economics,” Wall Street Journal, Oct. 17, 1990, A14. 16. Myron S. Scholes, “Derivatives in
The Quants
by Scott Patterson · 2 Feb 2010 · 374pp · 114,600 words
Wilmott, quant guru extraordinaire and founder of the mathematical finance program at Oxford University. In 2000, Wilmott began warning of a mathematician-led market meltdown. Benoit Mandelbrot, mathematician who as early as the 1960s warned of the dangers wild market swings pose to quant models—but was soon forgotten in the world
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in August 2007. The flaw had already been identified decades earlier by one of the most brilliant mathematicians in the world: Benoit Mandelbrot. When German tanks rumbled into France in 1940, Benoit Mandelbrot was sixteen years old. His family, Lithuanian Jews, had lived in Warsaw before moving to Paris in 1936 amid a spreading
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by pure human fear, the kind that can’t be captured in a computer model or complex algorithm. The wild, fat-tailed moves discovered by Benoit Mandelbrot in the 1950s seemed to be happening on an hourly basis. Nothing like it had ever been seen before. This wasn’t supposed to happen
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, a sudden swing in prices can change everything. This is Taleb’s world of “Extremistan.” Income distributions, for instance, exhibit signs of Extremistan, a discovery Benoit Mandelbrot had made more than half a century before. Measure the wealth of a thousand people plucked off the street. On a typical day, the distribution
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Munger. “They’re usually doing the devil’s work.” For years, critics on the fringes of the quant world had warned that trouble was brewing. Benoit Mandelbrot, for instance, the mathematician who decades earlier had warned the quants of the wild side of their mathematical models—the seismic fat tails on the
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with Mandelbrot in the summer of 2008. Many also come from the book The (Mis)Behavior of Markets: A Fractal View of Financial Turbulence, by Benoit Mandelbrot and Richard L. Hudson (Basic Books, 2006). “I realized that the existence of the smile”: My Life as a Quant, by Emanuel Derman (John Wiley
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a highly unlikely “black swan” event not captured by the bell curve, and visually is captured by a bulge on either side of the curve. Benoit Mandelbrot first devised methods to describe such extreme market events in the 1960s, but he was largely ignored. Gaussian copula: A model developed by financial engineer
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army of traders and professors helped me better understand the world of the quants, including Mark Spitznagel, Nassim Taleb, Paul Wilmott, Emanuel Derman, Aaron Brown, Benoit Mandelbrot, and so many others. Ed Thorp devoted far too much time to help me understand the true nature of trading and risk management, as well
When Einstein Walked With Gödel: Excursions to the Edge of Thought
by Jim Holt · 14 May 2018 · 436pp · 127,642 words
Theorem would take a truly terrible form: 0 = 1. Yet, oddly enough, e-commerce and financial derivatives would be left untouched. 8 Benoit Mandelbrot and the Discovery of Fractals Benoit Mandelbrot, the brilliant Polish-French-American mathematician who died in 2010, had a poet’s taste for complexity and strangeness. His genius for noticing
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Mathematician’s Apology (Cambridge, 1940). Michael Harris, Mathematics Without Apologies: Portrait of a Problematic Vocation (Princeton, 2015). 8. BENOIT MANDELBROT AND THE DISCOVERY OF FRACTALS Benoit Mandelbrot, The Fractalist: Memoir of a Scientific Maverick (Pantheon, 2012). Benoit Mandelbrot and Richard L. Hudson, The (Mis)behavior of Markets: A Fractal View of Financial Turbulence (Basic, 2006). 9
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). Acknowledgments The longer essays in this volume previously appeared, in somewhat different form, in the following publications: “A Mathematical Romance,” “The Avatars of Higher Mathematics,” “Benoit Mandelbrot and the Discovery of Fractals,” “Geometrical Creatures,” “A Comedy of Colors,” “The Dangerous Idea of the Infinitesimal,” “Dr. Strangelove Makes a Thinking Machine,” and “Einstein
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MacArthur, General Douglas MacFarquhar, Larissa Mackerel Plaza, The (De Vries) Mackie, J. L. Mac Lane, Saunders Maclean, Donald Major League Baseball Manchester, University of Mandelbrot, Benoit Mandelbrot, Szolem MANIAC (Mathematical and Numerical Integrator and Computer) manic depression Manutius, Aldus Man in the White Suit, The (film) Man Who Knew Too Much, The
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Francis Galton, the Father of Statistics … and Eugenics Part III: Mathematics, Pure and Impure 6. A Mathematical Romance 7. The Avatars of Higher Mathematics 8. Benoit Mandelbrot and the Discovery of Fractals Part IV: Higher Dimensions, Abstract Maps 9. Geometrical Creatures 10. A Comedy of Colors Part V: Infinity, Large and Small
How Big Things Get Done: The Surprising Factors Behind Every Successful Project, From Home Renovations to Space Exploration
by Bent Flyvbjerg and Dan Gardner · 16 Feb 2023 · 353pp · 97,029 words
the same principles independently of where you are scalewise, which is exactly what you want in order to build something huge with ease. The mathematician Benoit Mandelbrot, who first laid out the science of scale-free scalability, called this attribute “fractal”—like one of those popular Internet memes in which you see
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team, so undoubtedly I forgot some, for which I ask forgiveness, but which does not lessen their contribution or my gratitude. Gerd Gigerenzer, Daniel Kahneman, Benoit Mandelbrot, and Nassim Nicholas Taleb are principal intellectual influences. Nobody understands risk better than they do, and understanding risk is the key to understanding big projects
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. The higher above 3 the kurtosis is for a distribution (called “excess kurtosis”), the more fat-tailed the distribution is considered to be. The mathematician Benoit Mandelbrot found a kurtosis of 43.36 in a pioneering study of daily variations in the Standard & Poor’s 500 index between 1970 and 2001—14
Antifragile: Things That Gain From Disorder
by Nassim Nicholas Taleb · 27 Nov 2012 · 651pp · 180,162 words
print when they are not (yet) called so by others carries a cost, but is too small to be a deterrent. After the mathematical scientist Benoît Mandelbrot read the galleys of The Black Swan, a book dedicated to him, he called me and quietly said: “In what language should I say ‘good
More Than You Know: Finding Financial Wisdom in Unconventional Places (Updated and Expanded)
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Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies
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Capitalism 4.0: The Birth of a New Economy in the Aftermath of Crisis
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How Markets Fail: The Logic of Economic Calamities
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The Joys of Compounding: The Passionate Pursuit of Lifelong Learning, Revised and Updated
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Growth: From Microorganisms to Megacities
by Vaclav Smil · 23 Sep 2019
Chaos Kings: How Wall Street Traders Make Billions in the New Age of Crisis
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Think Twice: Harnessing the Power of Counterintuition
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Turing's Cathedral
by George Dyson · 6 Mar 2012
Money Changes Everything: How Finance Made Civilization Possible
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Complexity: A Guided Tour
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Capital Ideas: The Improbable Origins of Modern Wall Street
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The Man From the Future: The Visionary Life of John Von Neumann
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Currency Wars: The Making of the Next Gobal Crisis
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A Mathematician Plays the Stock Market
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Near and Distant Neighbors: A New History of Soviet Intelligence
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Statistical Arbitrage: Algorithmic Trading Insights and Techniques
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This Will Make You Smarter: 150 New Scientific Concepts to Improve Your Thinking
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Memory Machines: The Evolution of Hypertext
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The Doomsday Calculation: How an Equation That Predicts the Future Is Transforming Everything We Know About Life and the Universe
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Them And Us: Politics, Greed And Inequality - Why We Need A Fair Society
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The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
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The Patterning Instinct: A Cultural History of Humanity's Search for Meaning
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Radical Uncertainty: Decision-Making for an Unknowable Future
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Extreme Money: Masters of the Universe and the Cult of Risk
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Overcomplicated: Technology at the Limits of Comprehension
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How Not to Network a Nation: The Uneasy History of the Soviet Internet (Information Policy)
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The Creativity Code: How AI Is Learning to Write, Paint and Think
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Skin in the Game: Hidden Asymmetries in Daily Life
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Clojure Programming
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Licence to be Bad
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Power, Sex, Suicide: Mitochondria and the Meaning of Life
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The Simulation Hypothesis
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In Pursuit of the Perfect Portfolio: The Stories, Voices, and Key Insights of the Pioneers Who Shaped the Way We Invest
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Irrational Exuberance: With a New Preface by the Author
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On the Future: Prospects for Humanity
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The Success Equation: Untangling Skill and Luck in Business, Sports, and Investing
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Wireless
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The Simpsons and Their Mathematical Secrets
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The Perfect Bet: How Science and Math Are Taking the Luck Out of Gambling
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The Man Who Knew: The Life and Times of Alan Greenspan
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Ways of Being: Beyond Human Intelligence
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Infinite Ascent: A Short History of Mathematics
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The Singularity Is Near: When Humans Transcend Biology
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Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization: The Ideal Risk, Uncertainty, and Performance Measures
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More Money Than God: Hedge Funds and the Making of a New Elite
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Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets
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Think Complexity
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Red-Blooded Risk: The Secret History of Wall Street
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Descartes' Error: Emotion, Reason and the Human Brain
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The Man Who Solved the Market: How Jim Simons Launched the Quant Revolution
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The Volatility Smile
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Surfaces and Essences
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The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World
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Corporate Finance: Theory and Practice
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The Signal and the Noise: Why So Many Predictions Fail-But Some Don't
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Human Frontiers: The Future of Big Ideas in an Age of Small Thinking
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The Economists' Hour: How the False Prophets of Free Markets Fractured Our Society
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The New Trading for a Living: Psychology, Discipline, Trading Tools and Systems, Risk Control, Trade Management
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Life's Greatest Secret: The Race to Crack the Genetic Code
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