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Benoit Mandelbrot 4/4 https://en.wikipedia.org/wiki/Benoit_Mandelbrot reference science, encyclopedia 2026-05-05T18:09:35.179387+00:00 kb-cron

=== In English === Fractals: Form, Chance and Dimension, 1977, 2020 Mandelbrot, Benoît B. (1982). The Fractal Geometry of Nature. San Francisco: W.H. Freeman. ISBN 978-0-7167-1186-5. Mandelbrot, B. (1959) Variables et processus stochastiques de Pareto-Levy, et la repartition des revenus. Comptes rendus de l'Académie des Sciences de Paris, 249, 613615. Mandelbrot, B. (1960) The Pareto-Levy law and the distribution of income. International Economic Review, 1, 79106. Mandelbrot, B. (1961) Stable Paretian random functions and the multiplicative variation of income. Econometrica, 29, 517543. Mandelbrot, B. (1964) Random walks, fire damage amount and other Paretian risk phenomena. Operations Research, 12, 582585. Fractals and Scaling in Finance: Discontinuity, Concentration, Risk. Selecta Volume E, 1997 by Benoit B. Mandelbrot and R.E. Gomory Mandelbrot, Benoit B. (1997) Fractals and Scaling in Finance: Discontinuity, Concentration, Risk, Springer. Fractales, hasard et finance, 19591997, 1 November 1998 Multifractals and 1/ƒ Noise: Wild Self-Affinity in Physics (19631976) (Selecta; V.N) 18 January 1999 by J.M. Berger and Benoit B. Mandelbrot Mandelbrot, Benoît (February 1999). "A Multifractal Walk down Wall Street". Scientific American. 280 (2): 70. Bibcode:1999SciAm.280b..70M. doi:10.1038/scientificamerican0299-70. Gaussian Self-Affinity and Fractals: Globality, The Earth, 1/f Noise, and R/S (Selected Works of Benoit B. Mandelbrot) 14 December 2001 by Benoit Mandelbrot and F.J. Damerau Mandelbrot, Benoit B., Gaussian Self-Affinity and Fractals, Springer: 2002. Fractals and Chaos: The Mandelbrot Set and Beyond, 9 January 2004 Mandelbrot, Benoit B. (2010). The Fractalist, Memoir of a Scientific Maverick. New York: Vintage Books, Division of Random House. ISBN 978-0-307-38991-6 The Fractalist: Memoir of a Scientific Maverick, 2014 Hudson, Richard L.; Mandelbrot, Benoît B. (2004). The (Mis)Behavior of Markets: A Fractal View of Risk, Ruin, and Reward. New York: Basic Books. ISBN 978-0-465-04355-2.; (2006 ISBN 978-0465043576) Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe and Cornelia Zahlten: Fractals: An Animated Discussion (63 min video film, interviews with Benoît Mandelbrot and Edward Lorenz, computer animations), W.H. Freeman and Company, 1990. ISBN 0-7167-2213-5 (re-published by Films for the Humanities & Sciences, ISBN 978-0-7365-0520-8) Mandelbrot, Benoît; Taleb, Nassim (23 March 2006). "A focus on the exceptions that prove the rule". Financial Times. Archived from the original on 23 October 2010. Retrieved 17 October 2010. "Hunting the Hidden Dimension: mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature", NOVA, WGBH Educational Foundation, Boston for PBS, first aired 28 October 2008.

== In popular culture == The indie music satirist Jonathan Coulton's song, "Mandelbrot Set", is dedicated to Mandelbrot, who at the time of the song's release "is still alive and teaching math at Yale." The song incorporates the concepts and images associated with order out of chaos. Mandelbrot Set, you're a Rorschach Test on fire You're a day-glo pterodactyl You're a heart-shaped box of springs and wire You're one badass fucking fractal And you're just in time to save the day Sweeping all our fears away

You can change the world in a tiny way The song's pre-chorus describes a mathematical equation that is not the Mandelbrot Set, to which Coulton has said, "if any of you are mathematicians and youre just waiting anxiously to come up to me afterwards and point out the fact that the equation is not quite right, that I actually described a Julia set, and not a Mandlebrot Set, I already know that shit." Mandelbrot appears in the Epstein files. Less than two years removed from his initial sentencing in Florida, in an email exchange Epstein offered $50,000 for Mandelbrot's papers. Mandelbrot ultimately postponed selling his papers, giving his declining health as reason. A meeting was scheduled in Cambridge on Sept. 12, 2010. The pair were also photographed together at some point at Epstein's New York City home.

== See also ==

== Notes ==

== References ==

== Sources == Frame, Michael; Cohen, Nathan (2015). Benoit Mandelbrot: A Life in Many Dimensions. Singapore: World Scientific Publishing Company. ISBN 978-981-4366-06-9.

== External links ==

Benoit Mandelbrot at the Mathematics Genealogy Project Mandelbrot's page at Yale "Benoît Mandelbrot: Fractals and the art of roughness" (TED address). Fractals in Science, Engineering and Finance (lecture). FT.com interview on the subject of the financial markets which includes his critique of the "efficient market" hypothesis. Taylor, Richard (2011). "Obituaries: Benoit Mandelbrot". Physics Today. 64 (6): 63. Bibcode:2011PhT....64f..63T. doi:10.1063/1.3603925. Mandelbrot relates his life story (Web of Stories). Interview (1 January 1981, Ithaca, NY) held by the Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library. Video animation of Mandelbrot set, zoom factor 10342. Video animation of Mandelbulb on YouTube, a three-dimensional Mandelbrot-set projection. Video fly-through an animated Mandelbulb world on YouTube Benoit Mandelbrot at IMDb Benoit Mandelbrot at TED Michael Frame, "Benoit B. Mandelbrot", Biographical Memoirs of the National Academy of Sciences (2014) The Islands of Benoît Mandelbrot: Fractals, Chaos, and the Materiality of Thinking 2012 Bard Graduate Center exhibit that explore the role of images in scientific thinking; exhibition catalog edited by Nina Samuel (ISBN 978-0-300-18643-7)