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- Benoit Mandelbrot: Polish-born French and American mathematician and polymath
Quotes 1 till 20 of 30.
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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 fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...
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A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.
The Fractal Geometry of Nature -
Although computer memory is no longer expensive, there's always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills.
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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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Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
Fractals : Form, chance and dimension -
Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
The Fractal Geometry of Nature -
For most of my life, one of the persons most baffled by my own work was myself.
Lecture at the University of Maryland (March 2005) -
For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
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Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
The Fractal Geometry of Nature -
Given the profits he and Pharaoh must have made, one might call Joseph the first international arbitrageur.
The (Mis)Behavior of Markets Ch. 10, p. 201 (A reference to Genesis 41:48–49, -
If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
As quoted in Fractal Finance by Greg Phelan in Yale Economic Review (Fall 2005) -
In a different era, I would have called myself a natural philosopher. All my life, I have enjoyed the reputation of being someone who disrupted prevailing ideas. Now that I'm in my 80th year, I can play on my age and provoke people even more.
New Scientist interview -
Most were beginning to feel they had learned enough to last for the rest of their lives. They remained mathematicians, but largely went their own way.
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My fate has been that what I undertook was fully understood only after the fact.
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My life seemed to be a series of events and accidents. Yet when I look back I see a pattern.
New Scientist interview -
Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
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People want to see patterns in the world. It is how we evolved. We descended from those primates who were best at spotting the telltale pattern of a predator in the forest, or of food in the savannah. So important is this skill that we apply it everywhere, warranted or not.
The (Mis)Behavior of Markets Ch. 12, p. 245 -
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
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The Mandelbrot set covers a small space yet carries a large number of different implications. Is it a fitting epitaph? Absolutely.
New Scientist interview
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