On Extremal Polynomials: 2.Chebyshev Polynomials and Potential Theory

Mathematical Physics and Analysis Working Seminar
Friday, January 20, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Skiles 005
Burak Hatinoglu – Georgia Institute of Technology – bhatinoglu3@gatech.edu
Burak Hatinoglu

In the first talk of this series we introduced the definition of Chebyshev polynomials on compact subsets of the complex plane and discussed some properties. This week, after a short review of  the first talk, we will start to discuss asymptotic properties of Chebyshev polynomials and how they are related with logarithmic potential theory. Our main focus will be the necessary concepts from potential theory needed in the study of asymptotic properties of Chebyshev polynomials.