Emma C Bailey

collaborators

2 papers

math-ph2019

Mixed moments of characteristic polynomials of random unitary matrices

Emma C. Bailey, Sandro Bettin, Gordon Blower +4

Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unit…

math-ph2018

On the moments of the moments of the characteristic polynomials of random unitary matrices

E. C. Bailey, J. P. Keating

Denoting by $P_{N} (A, θ) = det (I - A e^{- i θ})$ the characteristic polynomial on the unit circle in the complex plane of an $N \times N$ random unitary matrix $A$ , we calculate the $k$ th mo…