ON FINITE RANK DEFORMATIONS OF WIGNER MATRICES II: DELOCALIZED PERTURBATIONS-Reference-Cited by-同舟云学术

ON FINITE RANK DEFORMATIONS OF WIGNER MATRICES II: DELOCALIZED PERTURBATIONS

Published:2013-01 Issue:01 Volume:02 Page:1250015
ISSN:2010-3263
Container-title:Random Matrices: Theory and Applications
language:en
Short-container-title:Random Matrices: Theory Appl.

Author:

RENFREW DAVID¹,SOSHNIKOV ALEXANDER²

Affiliation:

1. Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095-1555, USA

2. Department of Mathematics, University of California at Davis, Davis, CA 95616, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Statistics and Probability,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010326312500153

Reference36 articles.

1. Cambridge Studies in Advanced Mathematics;Anderson G. W.,2010

2. Limiting Behavior of Eigenvectors of Large Wigner Matrices

3. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

4. Eigenvalues of large sample covariance matrices of spiked population models

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