There is a saying that every nice piece of work needs the right person in the right place at the right time.
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.
Order doesn't come by itself.
Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics.
An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
When the weather changes, nobody believes the laws of physics have changed. Similarly, I don't believe that when the stock market goes into terrible gyrations its rules have changed.
The techniques I developed for studying turbulence, like weather, also apply to the stock market.
Nobody will deny that there is at least some roughness everywhere.
There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable.
For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
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.
I don't seek power and do not run around.
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
Until a few years ago, the topics in my Ph.D. were unfashionable, but they are very popular today.
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.
For un-subscribe please check the mail footer.