Convergence of symmetric trap models in the hypercube
| dc.creator | Fontes, L. R. G. | |
| dc.creator | Lima, P. H. S. | |
| dc.date | 2008-09-19 | |
| dc.date | 2009-04-10 | |
| dc.date.accessioned | 2026-07-07T13:01:50Z | |
| dc.date.available | 2026-07-07T13:01:50Z | |
| dc.description | We consider symmetric trap models in the d-dimensional hypercube whose ordered mean waiting times, seen as weights of a measure in the natural numbers, converge to a finite measure as d diverges, and show that the models suitably represented converge to a K process as d diverges. We then apply this result to get K processes as the scaling limits of the REM-like trap model and the Random Hopping Times dynamics for the Random Energy Model in the hypercube in time scales corresponding to the ergodic regime for these dynamics. | |
| dc.description | 11 pages; 2 figures; mistake in (3.1) of previous version corrected | |
| dc.identifier | https://arxiv.org/abs/0809.3463 | |
| dc.identifier | http://arxiv.org/abs/0809.3463 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226283 | |
| dc.subject | Probability | |
| dc.subject | 60K35, 60K37, 82C44 | |
| dc.title | Convergence of symmetric trap models in the hypercube | |
| dc.type | text |