On the uniqueness of the infinite cluster of the vacant set of random interlacements
| dc.creator | Teixeira, Augusto | |
| dc.date | 2008-05-27 | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:47:47Z | |
| dc.date.available | 2026-07-07T12:47:47Z | |
| dc.description | We consider the model of random interlacements on $\mathbb{Z}^d$ introduced in Sznitman [Vacant set of random interlacements and percolation (2007) preprint]. For this model, we prove the uniqueness of the infinite component of the vacant set. As a consequence, we derive the continuity in $u$ of the probability that the origin belongs to the infinite component of the vacant set at level $u$ in the supercritical phase $u<u_*$. | |
| dc.description | Published in at http://dx.doi.org/10.1214/08-AAP547 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/0805.4106 | |
| dc.identifier | http://arxiv.org/abs/0805.4106 | |
| dc.identifier | Annals of Applied Probability 2009, Vol. 19, No. 1, 454-466 | |
| dc.identifier | doi:10.1214/08-AAP547 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221840 | |
| dc.subject | Probability | |
| dc.subject | 60K35, 82C41 (Primary) | |
| dc.title | On the uniqueness of the infinite cluster of the vacant set of random interlacements | |
| dc.type | text |