Correlations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant

Simple item page
dc.creatorKrasovsky, I. V.
dc.date2004-11-04
dc.date2007-06-21
dc.date.accessioned2026-07-07T08:11:25Z
dc.date.available2026-07-07T08:11:25Z
dc.descriptionWe obtain large n asymptotics for products of powers of the absolute values of the characteristic polynomials in the Gaussian Unitary Ensemble of n\times n matrices. Our results can also be interpreted as asymptotics of the determinant of a Hankel matrix whose symbol is supported on the real line and possesses power-like (Fisher-Hartwig) singularities.
dc.description35 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0411016
dc.identifierhttp://arxiv.org/abs/math-ph/0411016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132112
dc.subjectMathematical Physics
dc.titleCorrelations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant
dc.typetext

Files

Collections

arXiv