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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".
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 ...
Benoit Mandelbrot: mathematician of Polish descent, known for developing a theory of "roughness and self-similarity" and significant contributions to fractal geometry and chaos theory; Mandelbrot set. [44] Krzysztof Matyjaszewski: chemist, who discovered atom transfer radical polymerization (ATRP). [45]
The Mandelbrot set is widely considered the most popular fractal, [44] [45] and has been referenced several times in popular culture. 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]
One of them, his nephew Benoit Mandelbrot, was to discover the Mandelbrot set and coin the word fractal in the 1970s. In 1939 he fought for France when the country was invaded by the Nazis, then in 1940, along with many scientists helped by Louis Rapkine and the Rockefeller Foundation , Mandelbrojt relocated to the United States, taking up a ...
In 1963, Benoit Mandelbrot, studying information theory, discovered that noise in many phenomena (including stock prices and telephone circuits) was patterned like a Cantor set, a set of points with infinite roughness and detail [83] Mandelbrot described both the "Noah effect" (in which sudden discontinuous changes can occur) and the "Joseph ...
By even portioning, Mandelbrot meant that the addends were of same order of magnitude, otherwise he considered the portioning to be concentrated. Given the moment of order q of a random variable, Mandelbrot called the root of degree q of such moment the scale factor (of order q). The seven states are:
Chaos: Making a New Science was the first popular book about chaos theory. It describes the Mandelbrot set, Julia sets, and Lorenz attractors without using complicated mathematics.