Mixed moments of characteristic polynomials of random unitary matrices

Bailey, Emma and Bettin, Sandro and Blower, Gordon and Conrey, John and Prokhorov, Alexei and Rubinstein, Michael and Snaith, Nina (2019) Mixed moments of characteristic polynomials of random unitary matrices. Journal of Mathematical Physics, 60 (8): 083509. ISSN 0022-2488

[thumbnail of AIMmxedmoments]
Text (AIMmxedmoments)
AIMmxedmoments.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (421kB)


Following the work of Conrey, Rubinstein and Snaith \cite{kn:crs06} and Forrester and Witte \cite{kn:forwit06} we examine some mixed moments of the characteristic polynomial and its derivative for matrices from the unitary group $U(N)$ (also known as the CUE) and relate the moments to solutions of differential equations.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Mathematical Physics
Additional Information:
Copyright 2019 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 60, (8) 2019 and may be found at http://dx.doi.org/10.1063/1.5092780 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Uncontrolled Keywords:
?? random matriceszeta functionspainleve differential equationsmathematics(all)mathematical physicsstatistical and nonlinear physics ??
ID Code:
Deposited By:
Deposited On:
25 Sep 2019 15:30
Last Modified:
15 Mar 2024 00:55