Uniqueness thresholds on trees versus graphs
| dc.creator | Sly, Allan | |
| dc.date | 2007-04-23 | |
| dc.date | 2008-11-13 | |
| dc.date.accessioned | 2026-07-07T10:17:33Z | |
| dc.date.available | 2026-07-07T10:17:33Z | |
| dc.description | Counter to the general notion that the regular tree is the worst case for decay of correlation between sets and nodes, we produce an example of a multi-spin interacting system which has uniqueness on the $d$-regular tree but does not have uniqueness on some infinite $d$-regular graphs. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AAP508 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0704.2916 | |
| dc.identifier | http://arxiv.org/abs/0704.2916 | |
| dc.identifier | Annals of Applied Probability 2008, Vol. 18, No. 5, 1897-1909 | |
| dc.identifier | doi:10.1214/07-AAP508 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173890 | |
| dc.subject | Probability | |
| dc.subject | 82B26 (Primary) | |
| dc.title | Uniqueness thresholds on trees versus graphs | |
| dc.type | text |