摘要

For a natural extension of the circular unitary ensemble of order n, we study as the asymptotic behavior of the sequence of monic orthogonal polynomials with respect to the spectral measure associated with a fixed vector, the last term being the characteristic polynomial. We show that, as , the sequence of processes converges to a deterministic limit, and we describe the fluctuations and the large deviations.

  • 出版日期2016-12