On Extremal Polynomials: 5. Upper Estimates and Irregularity of Widom Factors

Mathematical Physics and Analysis Working Seminar
Friday, February 10, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Skiles 006
Burak Hatinoglu – Georgia Institute of Technology – bhatinoglu3@gatech.edu
Burak Hatinoglu

We will continue to focus on Cantor-type sets we introduced last week. Using them we will consider maximal growth rate and irregular behavior of Widom factors (nth Chebyshev number divided by nth power of logarithmic capacity). We will also discuss a recent result of Jacob Christiansen, Barry Simon and Maxim Zinchenko, which shows that Widom factors of Parreau-Widom sets are uniformly bounded.