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.
Accepted author manuscript, 412 KB, PDF document
Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
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 -