Beautiful, damn hard, increasingly useful. That’s fractals.
BENOIT MANDELBROTThe beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
More Benoit Mandelbrot Quotes
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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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Some mathematicians didn’t even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures by the hundreds; the machines became a little bit better.
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I was in an industrial laboratory because academia found me unsuitable
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I don’t seek power and do not run around
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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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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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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn’t expect that it was possible. I just moved from step to step to step.
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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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My fate has been that what I undertook was fully understood only after the fact.
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A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…
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There are very complex shapes which would be the same from close by and far away.
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Unfortunately, the world has not been designed for the convenience of mathematicians.
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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
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If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).
BENOIT MANDELBROT