A new REM conjecture
| dc.creator | Arous, Gerard Ben | |
| dc.creator | Gayrard, Veronique | |
| dc.creator | Kuptsov, Alexey | |
| dc.date | 2006-12-13 | |
| dc.date.accessioned | 2026-07-07T06:43:14Z | |
| dc.date.available | 2026-07-07T06:43:14Z | |
| dc.description | We introduce here a new universality conjecture for levels of random Hamiltonians, in the same spirit as the local REM conjecture made by S. Mertens and H. Bauke. We establish our conjecture for a wide class of Gaussian and non-Gaussian Hamiltonians, which include the $p$-spin models, the Sherrington-Kirkpatrick model and the number partitioning problem. We prove that our universality result is optimal for the last two models by showing when this universality breaks down. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612373 | |
| dc.identifier | http://arxiv.org/abs/math/0612373 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102335 | |
| dc.subject | Probability | |
| dc.title | A new REM conjecture | |
| dc.type | text |