On the percolative properties of the intersection of two independent interlacements
We prove the existence of non-trivial phase transitions for the intersection of two independent random interlacements and the complement of the intersection. Some asymptotic results about the phase curves are also obtained. Moreover, we show that at least one of these two sets percolates in high dim...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We prove the existence of non-trivial phase transitions for the intersection
of two independent random interlacements and the complement of the
intersection. Some asymptotic results about the phase curves are also obtained.
Moreover, we show that at least one of these two sets percolates in high
dimensions. |
|---|---|
| DOI: | 10.48550/arxiv.2010.13640 |