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Benoit B. Mandelbrot [a] [b] (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".
Mandelbrot may refer to: Benoit Mandelbrot (1924–2010), a mathematician associated with fractal geometry Mandelbrot set , a fractal popularized by Benoit Mandelbrot
The Jonathan Coulton song "Mandelbrot Set" is a tribute to both the fractal itself and to the man it is named after, Benoit Mandelbrot. [ 46 ] Blue Man Group 's 1999 debut album Audio references the Mandelbrot set in the titles of the songs "Opening Mandelbrot", "Mandelgroove", and "Klein Mandelbrot". [ 47 ]
Benoit Mandelbrot (1924–2010) – fractal geometry; Katsumi Nomizu (1924–2008) – affine differential geometry; Michael S. Longuet-Higgins (1925–2016) John Leech (1926–1992) Alexander Grothendieck (1928–2014) – algebraic geometry; Branko Grünbaum (1929–2018) – discrete geometry; Michael Atiyah (1929–2019) Lev Semenovich ...
In 1982, Mandelbrot published The Fractal Geometry of Nature, which became a classic of chaos theory. [87] In December 1977, the New York Academy of Sciences organized the first symposium on chaos, attended by David Ruelle, Robert May, James A. Yorke (coiner of the term "chaos" as used in mathematics), Robert Shaw, and the meteorologist Edward ...
In 1963, Benoit Mandelbrot first used the stable (or -stable) distribution to model the empirical distributions which have the skewness and heavy-tail property. Since α {\displaystyle \alpha } -stable distributions have infinite p {\displaystyle p} -th moments for all p > α {\displaystyle p>\alpha } , the tempered stable processes have been ...
The last image we have of Patrick Cagey is of his first moments as a free man. He has just walked out of a 30-day drug treatment center in Georgetown, Kentucky, dressed in gym clothes and carrying a Nike duffel bag. The moment reminds his father of Patrick’s graduation from college, and he takes a picture of his son with his cell phone.
According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." [1] Presented here is a list of fractals, ordered by increasing Hausdorff dimension, to illustrate what it means for a fractal to have a low or a high dimension.