Eigenvalue Distribution In The Self-Dual Non-Hermitian Ensemble
| dc.creator | Hastings, M. B. | |
| dc.date | 1999-09-15 | |
| dc.date | 1999-09-22 | |
| dc.date.accessioned | 2026-07-07T03:14:34Z | |
| dc.date.available | 2026-07-07T03:14:34Z | |
| dc.description | We consider an ensemble of self-dual matrices with arbitrary complex entries. This ensemble is closely related to a previously defined ensemble of anti-symmetric matrices with arbitrary complex entries. We study the two-level correlation functions numerically. Although no evidence of non-monotonicity is found in the real space correlation function, a definite shoulder is found. On the analytical side, we discuss the relationship between this ensemble and the $β=4$ two-dimensional one-component plasma, and also argue that this ensemble, combined with other ensembles, exhausts the possible universality classes in non-hermitian random matrix theory. This argument is based on combining the method of hermitization of Feinberg and Zee with Zirnbauer's classification of ensembles in terms of symmetric spaces. | |
| dc.description | 7 pages, 2 figures, minor corrections | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9909234 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9909234 | |
| dc.identifier | J. Stat. Phys 103, 903 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29721 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Eigenvalue Distribution In The Self-Dual Non-Hermitian Ensemble | |
| dc.type | text |