Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908879364816896 |
|---|---|
| author | Collin, Orphée |
| author_facet | Collin, Orphée |
| contents | We study some properties of the random interlacement model on a transient weighted graph, which was introduced by A. Teixeira in ["Interlacement percolation on transient weighted graphs", Augusto Teixeira, Electronic Journal of Probability (2009)]. We give a simple proof of the FKG-property and discuss the occurrence of several 0-1 laws for non-local events. We show in particular a 0-1 law for some increasing non-local events, without any assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10896 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality Collin, Orphée Probability 60K35, 82B43, 60F20, 60J10 We study some properties of the random interlacement model on a transient weighted graph, which was introduced by A. Teixeira in ["Interlacement percolation on transient weighted graphs", Augusto Teixeira, Electronic Journal of Probability (2009)]. We give a simple proof of the FKG-property and discuss the occurrence of several 0-1 laws for non-local events. We show in particular a 0-1 law for some increasing non-local events, without any assumption. |
| title | Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality |
| topic | Probability 60K35, 82B43, 60F20, 60J10 |
| url | https://arxiv.org/abs/2603.10896 |