Mixed moments of characteristic polynomials of random unitary matrices

Bailey, E. C.; Bettin, S.; Blower, G.; Conrey, J. B.; Prokhorov, A.; Rubinstein, M. O.; Snaith, N. C.

doi:10.1063/1.5092780

Following the work of Conrey, Rubinstein, and Snaith [Commun. Math. Phys. 267, 611 (2006)] and Forrester and Witte [J. Phys. A: Math. Gen. 39, 8983 (2006)], we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unitary group U(N) (also known as the CUE) and relate the moment to the solution of a Painlevé differential equation. We also calculate a simple form for the asymptotic behavior of moments of logarithmic derivatives of these characteristic polynomials evaluated near the unit circle.

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Titolo:	Mixed moments of characteristic polynomials of random unitary matrices
Autori:	Bailey E. C. BETTIN, SANDRO Blower G. Conrey J. B. Prokhorov A. Rubinstein M. O. Snaith N. C. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2019
Rivista:	JOURNAL OF MATHEMATICAL PHYSICS
Handle:	http://hdl.handle.net/11567/973351
Appare nelle tipologie:	01.01 - Articolo su rivista

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http://hdl.handle.net/11567/973351

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