, however, decided to explore the mathematics of the world not in its idealized form, but as it actually appears, in all its untidiness and irregularity, devoting himself to the study, for example, of the forms of the coastlines of real islands, with all their unpredictable inlets, creeks, and furrows.
But it was rediscovered and made famous by Benoit Mandelbrot
in the 1960s, who studied cotton prices and discovered far more large moves than expected if they followed a normal distribution ("The variation of certain speculative prices" 1963).
PISRS International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011: Sicily, Italy) AMS Special Session on Fractal Geometry in Pure and Applied Mathematics: In Memory of Benoit Mandelbrot
(2012: Boston, MA) AMS Special Sessin on Geometry and Analysis on Fractal Spaces (2012: Honolulu, Hawaii) Ed.
The oil market, like any other asset market, experiences abrupt regime shifts from calm trading to wild trading conditions and back again, as the legendary French mathematician Benoit Mandelbrot
explained ("The (mis)behavior of markets," 2004).
This insight was finally given a scientific basis by the late 1970s, after the computer scientist Benoit Mandelbrot
wrote his polemical treatise, The Fractal Geometry of Nature in 1977.
Kaplan also interviews industry luminaries who have greatly influenced the evolution of asset allocation, including Harry Markowitz, Roger Ibbotson, and the late Benoit Mandelbrot
The brainchild of physicist and inventor Nathan Cohen, this 'fractal antenna' exploits the mathematics of fractals, a field of mathematics founded by Benoit Mandelbrot
TED speakers have included Bill Gates, Al Gore, Jane Goodall, Elizabeth Gilbert, Sir Richard Branson, Benoit Mandelbrot
, Philippe Starck, Ngozi Okonjo-Iweala, Isabel Allende and former UK Prime Minister Gordon Brown.
With the 14 October passing of fractal geometry founder Benoit Mandelbrot
, the world's loss of a great mind has also brought up the question "what good are fractals anyway?
founder of Ibbotson Associates, professor of finance at Yale School of Management, and partner at Zebra Capital Management; the late Benoit Mandelbrot
, award-winning mathematician, Yale University professor, and IBM Fellow; and Harry Markowitz, the father of Modern Portfolio Theory.