The techniques I developed for studying turbulence, like weather, also apply to the stock market
BENOIT MANDELBROTA formula can be very simple, and create a universe of bottomless complexity.
More Benoit Mandelbrot Quotes
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The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
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In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
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There is a saying that every nice piece of work needs the right person in the right place at the right time.
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Bottomless wonders spring from simple rules, which are repeated without end.
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I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.
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I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
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I didn’t feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world.
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The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
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Nobody will deny that there is at least some roughness everywhere
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I was in an industrial laboratory because academia found me unsuitable
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In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
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Beautiful, damn hard, increasingly useful. That’s fractals.
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Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.
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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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The Mandelbrot set is the most complex mathematical object known to mankind.
BENOIT MANDELBROT