Glauber Dynamics On The Cycle Is Monotone
| dc.creator | Nacu, Serban | |
| dc.date | 2003-05-03 | |
| dc.date.accessioned | 2026-07-07T04:57:44Z | |
| dc.date.available | 2026-07-07T04:57:44Z | |
| dc.description | We study heat-bath Glauber dynamics for the ferromagnetic Ising model on a finite cycle (a graph where every vertex has degree two). We prove that the relaxation time $τ_2$ is an increasing function of any of the couplings $J_{xy}$. We also prove some further inequalities, and obtain exact asymptotics for $τ_2$ at low temperatures. | |
| dc.identifier | https://arxiv.org/abs/math/0305056 | |
| dc.identifier | http://arxiv.org/abs/math/0305056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67361 | |
| dc.subject | Probability | |
| dc.subject | 60K35; 82C20 | |
| dc.title | Glauber Dynamics On The Cycle Is Monotone | |
| dc.type | text |