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    Rights statement: 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.

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Mixed moments of characteristic polynomials of random unitary matrices

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Mixed moments of characteristic polynomials of random unitary matrices. / Bailey, Emma; Bettin, Sandro ; Blower, Gordon et al.
In: Journal of Mathematical Physics, Vol. 60, No. 8, 083509, 23.08.2019.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Bailey, E, Bettin, S, Blower, G, Conrey, J, Prokhorov, A, Rubinstein, M & Snaith, N 2019, 'Mixed moments of characteristic polynomials of random unitary matrices', Journal of Mathematical Physics, vol. 60, no. 8, 083509. https://doi.org/10.1063/1.5092780

APA

Bailey, E., Bettin, S., Blower, G., Conrey, J., Prokhorov, A., Rubinstein, M., & Snaith, N. (2019). Mixed moments of characteristic polynomials of random unitary matrices. Journal of Mathematical Physics, 60(8), Article 083509. https://doi.org/10.1063/1.5092780

Vancouver

Bailey E, Bettin S, Blower G, Conrey J, Prokhorov A, Rubinstein M et al. Mixed moments of characteristic polynomials of random unitary matrices. Journal of Mathematical Physics. 2019 Aug 23;60(8):083509. doi: 10.1063/1.5092780

Author

Bailey, Emma ; Bettin, Sandro ; Blower, Gordon et al. / Mixed moments of characteristic polynomials of random unitary matrices. In: Journal of Mathematical Physics. 2019 ; Vol. 60, No. 8.

Bibtex

@article{1bf3a560829e4d30832446bbd2652338,
title = "Mixed moments of characteristic polynomials of random unitary matrices",
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.",
keywords = "random matrices, zeta functions, Painleve differential equations",
author = "Emma Bailey and Sandro Bettin and Gordon Blower and John Conrey and Alexei Prokhorov and Michael Rubinstein and Nina Snaith",
note = "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.",
year = "2019",
month = aug,
day = "23",
doi = "10.1063/1.5092780",
language = "English",
volume = "60",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

RIS

TY - JOUR

T1 - Mixed moments of characteristic polynomials of random unitary matrices

AU - Bailey, Emma

AU - Bettin, Sandro

AU - Blower, Gordon

AU - Conrey, John

AU - Prokhorov, Alexei

AU - Rubinstein, Michael

AU - Snaith, Nina

N1 - 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.

PY - 2019/8/23

Y1 - 2019/8/23

N2 - 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.

AB - 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.

KW - random matrices

KW - zeta functions

KW - Painleve differential equations

U2 - 10.1063/1.5092780

DO - 10.1063/1.5092780

M3 - Journal article

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 8

M1 - 083509

ER -