Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations
classification
🧮 math.SP
keywords
bi-diagonaldensityinteriorlargerandomsubjectasymptoticaverage
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We study the spectrum of large a bi-diagonal Toeplitz matrix subject to a Gaussian random perturbation with a small coupling constant. We obtain a precise asymptotic description of the average density of eigenvalues in the interior of the convex hull of the range symbol.
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