Fractal stock market mandelbrot
Login or Subscribe Newsletter. Seeing a snowflake pattern in the NASDAQ. Katharine Stoel Gammon, News Office Correspondent November 16, Benoit Mandelbrot is world-famous for making mathematical sense of irregular shapes--clouds that are not round, mountains that are not cones, coastlines that are not smooth, and now, stock markets that are not as simple as previously thought.
Mandelbrot, known as the "father of fractal geometry," spoke Nov. His talk was the first in a series sponsored by the MIT Molecular Frontiers Club. Molecular Frontiers is a new international alliance of scientists, including several at MIT, intended to inspire young people to get involved in science.
The title of Mandelbrot's lecture was "The Mandelbrot Set and Fractals in Finance. Mandelbrot coined the term "fractals" in to describe shapes that appear similar at all levels of magnification and are also called "infinitely complex.
Mandelbrot, who sometimes drifted into anecdotes about former colleagues and students, described the long process of his work. Only later did I realize that everything I was working on had the property of roughness.
In the middle of World War II, Mandelbrot was a young man studying in the south of France. After continuing his studies in Paris, Mandelbrot left France for Caltech in to study aeronautics. He returned to France to get a Ph. In , Mandelbrot settled with his wife, Aliette, in Yorktown, N. He went on to devote his academic life to seeing the truth in the roughness of geometrical shapes. After working on the general properties of fractals, he moved on to examine more specific and complex examples, focusing on what came to be known as the Mandelbrot Set.
An unusual type of fractal that comes from a simple equation, the Mandelbrot Set is popular outside of mathematics because of its aesthetic appeal and its complicated structure.
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No one has been able to prove the Mandelbrot Set is true, according to Mandelbrot. Mandelbrot recently began to apply his knowledge of fractals to explain stock markets.
Only fractals can explain this kind of random change.
Mandelbrot is an IBM Fellow Emeritus at the Thomas J. Watson Research Center and a Battelle Fellow at the Pacific Northwest National Laboratory. A version of this article appeared in MIT Tech Talk on November 22, download PDF. Mathematics , Special events and guest speakers , Volunteering, outreach, public service.
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