Percolation on subsets of the square lattice
- 1 March 1980
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (1) , 278-283
- https://doi.org/10.2307/3212947
Abstract
We adapt arguments from a paper of Seymour and Welsh concerning percolation probabilities on the infinite square lattice L to show that for certain regions R in L, if there is a positive probability of having an infinite open path in L starting at the origin then there is also a positive probability of having such a path within R.Keywords
This publication has 5 references indexed in Scilit:
- On critical probabilities in percolation theoryJournal of Mathematical Physics, 1978
- Percolation Probabilities on the Square LatticePublished by Elsevier ,1978
- First-Passage Percolation on the Square LatticeLecture Notes in Mathematics, 1978
- Exact Critical Percolation Probabilities for Site and Bond Problems in Two DimensionsJournal of Mathematical Physics, 1964
- A lower bound for the critical probability in a certain percolation processMathematical Proceedings of the Cambridge Philosophical Society, 1960