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

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

I didn’t want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure – I wanted to do something different.

The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

Asking the right questions is as important as answering them

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

Nobody will deny that there is at least some roughness everywhere

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.

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…

I don’t seek power and do not run around

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

A formula can be very simple, and create a universe of bottomless complexity.

In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.

Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.

Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics

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.

Big writers become a kind of shared climate.

Whether it is sunny or rainy, make your walk to your destination!

The Sun after the rain is much beautiful than the Sun before the rain!

There may be a time when we’ll attend Weather Theaters to recall the sensation of rain.

No matter the weather, if you embrace her storm she will always be your sunshine.

What a fine weather today! Can’t choose whether to drink tea or to hang myself.

Entrance and exit wounds are silvered clean, The track aches only when the rain reminds. The one-legged man forgets his leg of wood, The one-armed man his jointed wooden arm. The blinded man sees with his ears and hands As much or more than once with both his eyes.

There’s a cool web of language winds us in, Retreat from too much joy or too much fear: We grow sea-green at last and coldly die In brininess and volubility.