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.
Titolo: | Mixed moments of characteristic polynomials of random unitary matrices |
Autori: | |
Data di pubblicazione: | 2019 |
Rivista: | |
Handle: | http://hdl.handle.net/11567/973351 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
File in questo prodotto:
File | Descrizione | Tipologia | |
---|---|---|---|
JMP.pdf | Documento in versione editoriale | Open Access Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.