Translation invariant Gibbs states for the Ising model
| dc.creator | Bodineau, T. | |
| dc.date | 2004-09-06 | |
| dc.date.accessioned | 2026-07-07T05:11:49Z | |
| dc.date.available | 2026-07-07T05:11:49Z | |
| dc.description | We prove that all the translation invariant Gibbs states of the Ising model are a linear combination of the pure phases $μ^+,μ^-$ in the phase transition regime. This implies that the average magnetization is continuous in the phase transition regime ($β> β_c$). Furthermore, combined with previous results on the slab percolation threshold this shows the validity of Pisztora's coarse graining up to the critical temperature. | |
| dc.description | 14 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0409079 | |
| dc.identifier | http://arxiv.org/abs/math/0409079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72375 | |
| dc.subject | Probability | |
| dc.subject | 82B20; 82B26 | |
| dc.title | Translation invariant Gibbs states for the Ising model | |
| dc.type | text |