Interior Eigenvalue Density of Jordan Matrices with Random Perturbations
| Affiliation auteurs | Affiliation ok |
| Titre | Interior Eigenvalue Density of Jordan Matrices with Random Perturbations |
| Type de publication | Book Chapter |
| Year of Publication | 2017 |
| Auteurs | Sjostrand J, Vogel M |
| Editor | Andersson M, Boman J, Kiselman C, Kurasov P, Sigurdsson R |
| Book Title | ANALYSIS MEETS GEOMETRY: THE MIKAEL PASSARE MEMORIAL VOLUME |
| Series Title | Trends in Mathematics |
| Pagination | 439-466 |
| Publisher | BIRKHAUSER VERLAG AG |
| City | VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND |
| ISBN Number | 978-3-319-52471-9; 978-3-319-52469-6 |
| ISBN | 2297-0215 |
| Mots-clés | non-self-adjoint operators, random perturbations, Spectral theory |
| Résumé | 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. |