Evolution of the interfaces in a two dimensional Potts model
| dc.creator | Valle, Glauco | |
| dc.date | 2006-08-06 | |
| dc.date | 2007-04-02 | |
| dc.date.accessioned | 2026-07-07T07:54:57Z | |
| dc.date.available | 2026-07-07T07:54:57Z | |
| dc.description | We investigate the evolution of the random interfaces in a two dimensional Potts model at zero temperature under Glauber dynamics for some particular initial conditions. We prove that under space-time diffusive scaling the shape of the interfaces converges in probability to the solution of a non-linear parabolic equation. This Law of Large Numbers is obtained from the Hydrodynamic limit of a coupling between an exclusion process and an inhomogeneous one dimensional zero range process with asymmetry at the origin. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608142 | |
| dc.identifier | http://arxiv.org/abs/math/0608142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126808 | |
| dc.subject | Probability | |
| dc.subject | 60K35 | |
| dc.title | Evolution of the interfaces in a two dimensional Potts model | |
| dc.type | text |