Statistical properties of Random Matrices and the replica method
| dc.creator | Parisi, Giorgio | |
| dc.date | 1997-01-07 | |
| dc.date.accessioned | 2026-07-07T09:11:26Z | |
| dc.date.available | 2026-07-07T09:11:26Z | |
| dc.description | I present here some results on the statistical behaviour of large random matrices in an ensemble where the probability distribution is not a function of the eigenvalues only. The perturbative expansion can be cast in a closed form and the limits of validity of this expansion are carefully analyzed. A comparison is done with a similar model with quenched disorder, where the solution can be found by using the replica method. Finally I will apply these results to a model which should describe the liquid-glass transitionin high dimensions. | |
| dc.description | Talk given at Claude Itzykson memorial, June 1996 Paris. 11 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9701032 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9701032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151679 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Statistical properties of Random Matrices and the replica method | |
| dc.type | text |