The Distribution of the Zeros of Orthogonal Polynomials on the Unit Circle

03/24/2009 - 12:15pm
03/24/2009 - 1:10pm
Speaker: 
Mihai Stoiciu (Williams College)
Abstract: 

We consider orthogonal polynomials on the unit circle and study the distribution of their zeros. We present various classes of polynomials which exhibit a regular “clock” distribution of zeros. We also consider orthogonal polynomials on the unit circle with independent identically distributed random recurrence coefficients and show that their zeros are distributed according to a Poisson process.

Where: 
ML 211