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

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Abstract

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:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? random matriceszeta functionspainleve differential equationsgeneral mathematicsmathematical physicsstatistical and nonlinear physics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

136801

Deposited By:

ep_importer_pure

Deposited On:

25 Sep 2019 15:30

Refereed?:

Yes

Published?:

Published

Last Modified:

26 Oct 2024 00:22

URI:

https://eprints.lancs.ac.uk/id/eprint/136801