The Supercritical Phase of Percolation is Well Behaved
Abstract
We prove a general result concerning the critical probabilities of subsets of a lattice L. It is a consequence of this result that the critical probability of a percolation process on L equals the limit of the critical probability of a slice of L as the thickness of the slice tends to infinity. This verification of one of the standard hypotheses of the subject settles many questions concerning supercritical percolation.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- August 1990
- DOI:
- 10.1098/rspa.1990.0100
- Bibcode:
- 1990RSPSA.430..439G