Some Observations for Mean-Field Spin Glass Models
| dc.creator | Starr, Shannon | |
| dc.creator | Vermesi, Brigitta | |
| dc.date | 2007-07-01 | |
| dc.date | 2007-12-23 | |
| dc.date.accessioned | 2026-07-07T09:24:47Z | |
| dc.date.available | 2026-07-07T09:24:47Z | |
| dc.description | We obtain bounds to show that the pressure of a two-body, mean-field spin glass is a Lipschitz function of the underlying distribution of the random coupling constants, with respect to a particular semi-norm. This allows us to re-derive a result of Carmona and Hu, on the universality of the SK model, by a different proof, and to generalize this result to the Viana-Bray model. We also prove another bound, suitable when the coupling constants are not independent, which is what is necessary if one wants to consider ``canonical'' instead of ``grand canonical'' versions of the SK and Viana-Bray models. Finally, we review Viana-Bray type models, using the language of Lévy processes, which is natural in this context. | |
| dc.description | 15 pages, minor revisions | |
| dc.identifier | https://arxiv.org/abs/0707.0031 | |
| dc.identifier | http://arxiv.org/abs/0707.0031 | |
| dc.identifier | Lett. Math. Phys., 83 (2008) 281--303. | |
| dc.identifier | doi:10.1007/s11005-008-0224-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156187 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B44; 60K35 | |
| dc.title | Some Observations for Mean-Field Spin Glass Models | |
| dc.type | text |