Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices

Simple item page
dc.creatorLiu, Dang-Zheng
dc.creatorWang, Zheng-Dong
dc.creatorYan, Kui-Hua
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:08Z
dc.date.available2026-07-07T10:14:08Z
dc.descriptionWe generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomials. First we calculate directly the moments of the density. Then, by studying some deformation of the moments, we get a family of differential equations of first order which the densities satisfy (see Theorem 1.2), and give the densities by solving them. Further, we prove that the density is invariant after the polynomial perturbation of the weight function (see Theorem 1.5).
dc.description21pages
dc.identifierhttps://arxiv.org/abs/0810.5425
dc.identifierhttp://arxiv.org/abs/0810.5425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172777
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject15A52; 60F99, 30E05
dc.titleDensity of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
dc.typetext

Files

Collections

arXiv