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.
Benoit Mandelbrot
I have engaged myself, without realizing it, in undertaking a theory of roughness.
Benoit Mandelbrot
Nobody will deny that there is at least some roughness everywhere.
Benoit Mandelbrot
One of my conjectures was solved in six months, a second in five years, a third in 10. But the basic conjecture remains-the Mandelbrot Set.
Benoit Mandelbrot
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
Benoit Mandelbrot
The techniques I developed for studying turbulence, like weather, also apply to the stock market.
Benoit Mandelbrot