On the Remarkable Spectrum of a Non-Hermitean Random Matrix Model
| dc.creator | Holz, Daniel E. | |
| dc.creator | Orland, Henri | |
| dc.creator | Zee, A. | |
| dc.date | 2002-04-09 | |
| dc.date | 2002-10-28 | |
| dc.date.accessioned | 2026-07-07T04:29:07Z | |
| dc.date.available | 2026-07-07T04:29:07Z | |
| dc.description | A non-Hermitean random matrix model proposed a few years ago has a remarkably intricate spectrum. Various attempts have been made to understand the spectrum, but even its dimension is not known. Using the Dyson-Schmidt equation, we show that the spectrum consists of a non-denumerable set of lines in the complex plane. Each line is the support of the spectrum of a periodic Hamiltonian, obtained by the infinite repetition of any finite sequence of the disorder variables. Our approach is based on the ``theory of words.'' We make a complete study of all 4-letter words. The spectrum is complicated because our matrix contains everything that will ever be written in the history of the universe, including this particular paper. | |
| dc.description | 9 pages, 12 figures; in press, J Phys A | |
| dc.identifier | https://arxiv.org/abs/math-ph/0204015 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0204015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57038 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Condensed Matter | |
| dc.title | On the Remarkable Spectrum of a Non-Hermitean Random Matrix Model | |
| dc.type | text |