Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations
Spectral Theory
2016-04-20 v1
Abstract
We study the spectrum of large a bi-diagonal Toeplitz matrix subject to a Gaussian random perturbation with a small coupling constant. We obtain a precise asymptotic description of the average density of eigenvalues in the interior of the convex hull of the range symbol.
Cite
@article{arxiv.1604.05558,
title = {Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations},
author = {Johannes Sjoestrand and Martin Vogel},
journal= {arXiv preprint arXiv:1604.05558},
year = {2016}
}
Comments
26 pages, 1 figure