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Reports Year : 2011

Perturbations of diagonal matrices by band random matrices

Abstract

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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Dates and versions

hal-00584577 , version 1 (08-04-2011)
hal-00584577 , version 2 (27-04-2011)

Identifiers

  • HAL Id : hal-00584577 , version 2

Cite

Florent Benaych-Georges, Nathanael Enriquez. Perturbations of diagonal matrices by band random matrices. 2011. ⟨hal-00584577v2⟩
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