Benoit Mandelbrot

Benoit Mandelbrot 1924 -2010: A Greek among Romans

Was Benoit Mandelbrot Plagiarizing Ralph Elliott’s Wave Principle?

In February 1999, Benoit Mandelbrot submitted an article to Scientific American called ”A Multifractal Walk down Wall Street.” In it, he discusses how fractal geometry can be used to model the stock market curves. In the following months several letters to the editor appeared claiming that Mandelbrot had plagiarized the work of the economist Ralph Nelson Elliott, who had rigorously sought to un...

Benoit Mandelbrot (1924-1910): a Greek among Romans

Benoit G . Bruneau and

Congenital Heart Disease: Entering a New Era of Human Genetics Print ISSN: 0009-7330. Online ISSN: 1524-4571 Copyright © 2014 American Heart Association, Inc. All rights reserved. is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Circulation Research doi: 10.1161/CIRCRESAHA.113.30306

Dynamics of Mandelbrot Cascades

Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments. To be more specific, beyond the first iteration, the trajectories take values in the set of fixed points of smoothing transformations (i.e., some generalized stable laws). Studying this system leads to a central limit theorem and to its functional ...