The Statistical Distribution of the Zeros of Random Paraorthogonal Polynomials on the Unit Circle

Mihai Stoiciu

We consider polynomials on the unit circle defined by the recurrence relation Φ_{k+1}(z) = z Φ_{k} (z) - \barα_{k} Φ_k^{*}(z) for k \geq 0 and Φ_0=1. For each n we take α_0, α_1, .…