ON FINITE RANK DEFORMATIONS OF WIGNER MATRICES II: DELOCALIZED PERTURBATIONS

David Renfrew, Alexander Soshnikov

Type: Article

Publication Date: 2013-01-01

Citations: 35

DOI: https://doi.org/10.1142/s2010326312500153

Abstract

We study the distribution of the outliers in the spectrum of finite rank deformations of Wigner random matrices. We assume that the matrix entries have finite fourth moment and extend the results by Capitaine, Donati-Martin, and Féral for perturbations whose eigenvectors are delocalized.

Locations

Random Matrices Theory and Application - View
arXiv (Cornell University) - View - PDF

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