Journal article icon

Journal article

A short proof of the Harris-Kesten Theorem

Abstract:
We give a short proof of the fundamental result that the critical probability for bond percolation in the planar square lattice is equal to 1/2. The lower bound was proved by Harris, who showed in 1960 that percolation does not occur at $p=1/2$. The other, more difficult, bound was proved by Kesten, who showed in 1980 that percolation does occur for any $p>1/2$.
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1112/S002460930601842X
Journal:
Bulletin of the London Mathematical Society 38 (2006), 470--484. More from this journal
Volume:
38
Issue:
3
Pages:
470-484
Publication date:
2004-10-15
DOI:
EISSN:
1469-2120
ISSN:
0024-6093
Language:
English
Keywords:
Pubs id:
pubs:13926
UUID:
uuid:fd4a3f91-bcf5-4b11-9717-f579733d0052
Local pid:
pubs:13926
Source identifiers:
13926
Deposit date:
2012-12-19

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP