There is a saying that every nice piece of work needs the right person in the right place at the right time.

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

When people ask me what's my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.

Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.

Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

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

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