A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
BENOIT MANDELBROTI spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not – for the job that I should spend my life in.
More Benoit Mandelbrot Quotes
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The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
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Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
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A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don’t get something smooth, but irregularities at a smaller scale.
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A formula can be very simple, and create a universe of bottomless complexity.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
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Order doesn’t come by itself.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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If you have a hammer, use it everywhere you can, but I do not claim that everything is 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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An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
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Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.
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Nobody will deny that there is at least some roughness everywhere
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Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.
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Asking the right questions is as important as answering them
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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.
BENOIT MANDELBROT







