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2010

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

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Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
We 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
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
Added 28 Jan 2011
Updated 28 Jan 2011
Type Journal
Year 2010
Where JAT
Authors Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
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