Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/15456

Title: Derivative moments for characteristic polynomials from the CUE
Authors: Winn, Brian
Issue Date: 2012
Publisher: © Springer-Verlag
Citation: WINN, B., 2012. Derivative moments for characteristic polynomials from the CUE. Communications in Mathematical Physics, 315(2), pp.531-562.
Abstract: We calculate joint moments of the characteristic polynomial of a random unitary matrix from the circular unitary ensemble and its derivative in the case that the power in themoments is an odd positive integer. The calculations are carried out for finite matrix size and in the limit as the size of the matrices goes to infinity. The latter asymptotic calculation allows us to prove a long-standing conjecture from random matrix theory.
Description: The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-012-1512-1
Version: Accepted for publication
DOI: 10.1007/s00220-012-1512-1
URI: https://dspace.lboro.ac.uk/2134/15456
Publisher Link: http://dx.doi.org/10.1007/s00220-012-1512-1
ISSN: 0010-3616
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
Winn_Derivative Moments.pdfAccepted version459.22 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.