Caltech Logo

Mathematical Physics Seminar

Wednesday, June 1, 2016
2:30pm to 3:30pm
Add to Cal
Chebyshev and orthogonal polynomials on dynamically defined Cantor sets
Maxim Zinchenko, Associate Professor, Mathematics, Universty of New Mexico,
Abstract: In this talk I'll survey recent results on the asymptotics of Chebyshev and orthogonal polynomials associated with a class of generalized Julia sets on the real line. The Chebyshev polynomials are defined as monic polynomials minimizing the sup norm over a given set. Similarly, the orthogonal polynomials are minimizers of the $L^2$ norm. We will consider polynomials orthogonal with respect to the equilibrium measure of a given set. The main results concern with the asymptotics of the corresponding norms as the degree of the polynomials tends to infinity.
For more information, please contact Mathematics Department by email at [email protected] or visit http://www.math.caltech.edu/~rlfrank/seminar.html.