Zeros of Random Orthogonal Polynomials on the Unit Circle
We study the statistical distribution of the zeros of some classes of random orthogonal polynomials on the unit circle. For each n we take the random Verblunsky coefficients alpha_0, alpha_1,...,alpha_{n-2} to be independent identically distributed random variables uniformly distributed in a disk of...
Internet
https://thesis.library.caltech.edu/2145/1/Thesis.pdfStoiciu, Mihai Valentin (2005) Zeros of Random Orthogonal Polynomials on the Unit Circle. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/T2KB-RH17. https://resolver.caltech.edu/CaltechETD:etd-05272005-110242 <https://resolver.caltech.edu/CaltechETD:etd-05272005-110242>