%0 Journal Article
%T Interior eigenvalue density of Jordan matrices with random perturbations
%A Johannes Sjoestrand
%A Martin Vogel
%J Mathematics
%D 2014
%I arXiv
%X We study the eigenvalue distribution of a large Jordan block subject to a small random Gaussian perturbation. A result by E.B. Davies and M. Hager shows that as the dimension of the matrix gets large, with probability close to $1$, most of the eigenvalues are close to a circle. We study the expected eigenvalue density of the perturbed Jordan block in the interior of that circle and give a precise asymptotic description.
%U http://arxiv.org/abs/1412.2230v1