Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails
Probability
2007-05-23 v5 Mathematical Physics
math.MP
Abstract
We study large Wigner random matrices in the case when the marginal distributions of matrix entries have heavy tails. We prove that the largest eigenvalues of such matrices have Poisson statistics.
Keywords
Cite
@article{arxiv.math/0405090,
title = {Poisson Statistics for the Largest Eigenvalues of Wigner Random Matrices with Heavy Tails},
author = {Alexander Soshnikov},
journal= {arXiv preprint arXiv:math/0405090},
year = {2007}
}
Comments
I have found a couple of small mistakes in the auxiliary Lemmas 1 and 2 and made the necessary corrections. These changes do not affect the results of the paper