Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896573 | Journal of Functional Analysis | 2018 | 23 Pages |
Abstract
We address overcrowding estimates for the singular values of random iid matrices, as well as for the eigenvalues of random Wigner matrices. We show evidence of long range separation under arbitrary perturbation even in matrices of discrete entry distributions. In many cases our method yields nearly optimal bounds.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hoi H. Nguyen,