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arxiv: 1104.1983 · v2 · pith:BHDGJFZAnew · submitted 2011-04-11 · 🧮 math.PR

Perturbations of diagonal matrices by band random matrices

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keywords matrixdensitydiagonalmatricesrandomspectraladditionband
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We exhibit an explicit formula for the spectral density of a (large) random matrix which is a diagonal matrix whose spectral density converges, perturbated by the addition of a symmetric matrix with Gaussian entries and a given (small) limiting variance profile.

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