I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.

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.

Asking the right questions is as important as answering them

Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled.

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.

The Mandelbrot set is the most complex mathematical object known to mankind.

The techniques I developed for studying turbulence, like weather, also apply to the stock market