The Level Densities of Random Matrix Unitary Ensembles and their Perturbation Invariability

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dc.creatorWang, Zhengdong
dc.creatorYan, Kuihua
dc.date2005-03-10
dc.date.accessioned2026-07-07T04:31:55Z
dc.date.available2026-07-07T04:31:55Z
dc.descriptionUsing operator methods, we generally present the level densities for kinds of random matrix unitary ensembles in weak sense. As a corollary, the limit spectral distributions of random matrices from Gaussian, Laguerre and Jacobi unitary ensembles are recovered. At the same time, we study the perturbation invariability of the level densities of random matrix unitary ensembles. After the weight function associated with the 1-level correlation function is appended a polynomial multiplicative factor, the level density is invariant in the weak sense.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0503022
dc.identifierhttp://arxiv.org/abs/math-ph/0503022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58002
dc.subjectMathematical Physics
dc.subject15A52; 33C45
dc.titleThe Level Densities of Random Matrix Unitary Ensembles and their Perturbation Invariability
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