SI
SI
discoversearch

We've detected that you're using an ad content blocking browser plug-in or feature. Ads provide a critical source of revenue to the continued operation of Silicon Investor.  We ask that you disable ad blocking while on Silicon Investor in the best interests of our community.  If you are not using an ad blocker but are still receiving this message, make sure your browser's tracking protection is set to the 'standard' level.
Technology Stocks : Artificial Intelligence, Robotics, Chat bots - ChatGPT
NVDA 194.07-2.5%3:10 PM EST
 Public ReplyPrvt ReplyMark as Last ReadFilePrevious 10Next 10PreviousNext  
From: Frank Sully10/31/2021 4:53:11 PM
2 Recommendations

Recommended By
Glenn Petersen
techlvr

  Read Replies (1) of 5485
 
My Mathematical Heritage

A bit off topic, I thought I'd discuss how I can trace my mathematical heritage to Daniel Bernoulli, of thermodynamics fame. I just thought that you might find it interesting that "in a sense" I am related to this illustrious family of mathematicians, as I explain below.

One of the students of John (the Elder) Bernoulli was the famous mathematician Leonard Euler,who received his Ph.D. in 1726. This mathematical heritage was passed down from generation to generation over the next two and a half centuries until "modern times". My thesis advisor's advisor was the famous mathematician Steve Smale, and his mathematical geneology can be traced back to Leibniz and the Bernoullis through Euler. Smale received his Ph.D. in 1957 at the University of Michigan at Ann Arbor. He received the Fields Medal in 1966 in Moscow (the Fields medal is the mathematical equivalent of the Nobel Prize.) In the 1960's Smale developed the modern theory of Dynamical Systems, an offshoot of the study of differential equations.

One of Smale's many students at the University of California at Berkeley was my thesis advisor, Sheldon Newhouse, who received his Ph.D. in 1967. Newhouse established a small, elite group of dynamical systems specialists at the University of North Carolina at Chapel Hill during the 1970's. I studied there with Sheldon from 1977 to 1984 when I received my Ph.D. in Chaos Theory and Fractals. So, in a sense, I am related to the Bernoullis, at least mathematically.

My Mathematical Research

The field of dynamical systems is concerned with describing mathematically the long-term time evolution of a system. My research was on the relationship between two measures of randomness and the fractal dimension of chaotic dynamical systems arising as polynomials of the complex plane. The randomness of the dynamical system lives on the fractal Julia set. Gaston Julia was a French mathematician who studied these complex polynomial in the early part of the 20th Century.

Here is a six minute video explaining what Julia sets are.



Cheers,
Frank

Report TOU ViolationShare This Post
 Public ReplyPrvt ReplyMark as Last ReadFilePrevious 10Next 10PreviousNext  

HomeMailHotSubjectMarksPeopleMarksKeepersSettings
Terms Of UseContact UsCopyright/IP PolicyPrivacy PolicyAbout UsFAQAdvertise on SI
© 2025 Knight Sac Media.  Data provided by Twelve Data, Alpha Vantage, and CityFALCON News