Hierarchical pinning model with site disorder: Disorder is marginally relevant
| dc.creator | Lacoin, Hubert | |
| dc.date | 2008-07-30 | |
| dc.date | 2009-05-14 | |
| dc.date.accessioned | 2026-07-07T13:14:16Z | |
| dc.date.available | 2026-07-07T13:14:16Z | |
| dc.description | We study a hierarchical disordered pinning model with site disorder for which, like in the bond disordered case [6, 9], there exists a value of a parameter b (enters in the definition of the hierarchical lattice) that separates an irrelevant disorder regime and a relevant disorder regime. We show that for such a value of b the critical point of the disordered system is different from the critical point of the annealed version of the model. The proof goes beyond the technique used in [9] and it takes explicitly advantage of the inhomogeneous character of the Green function of the model. | |
| dc.description | 13 pages, 1 figure, final version accepted for publication. to appear in Probability Theory and Related Fields | |
| dc.identifier | https://arxiv.org/abs/0807.4864 | |
| dc.identifier | http://arxiv.org/abs/0807.4864 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230157 | |
| dc.subject | Probability | |
| dc.subject | 60K37, 82B44, 37H99 | |
| dc.title | Hierarchical pinning model with site disorder: Disorder is marginally relevant | |
| dc.type | text |