Journal article
A note on the Harris-Kesten Theorem
- Abstract:
- Recently, a short proof of the Harris-Kesten result that the critical probability for bond percolation in the planar square lattice is 1/2 was given, using a sharp threshold result of Friedgut and Kalai. Here we point out that a key part of this proof may be replaced by an argument of Russo from 1982, using his approximate zero-one law in place of the Friedgut-Kalai result. Russo's paper gave a new proof of the Harris-Kesten Theorem that seems to have received little attention.
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Bibliographic Details
- Journal:
- Europ. J. Combin. 28 (2007), 1720-1723.
- Volume:
- 28
- Issue:
- 6
- Pages:
- 1720-1723
- Publication date:
- 2005-09-06
- DOI:
- ISSN:
-
0195-6698
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:146967
- UUID:
-
uuid:86f445c4-a958-4451-9916-37bfbaf71d26
- Local pid:
- pubs:146967
- Source identifiers:
-
146967
- Deposit date:
- 2013-02-20
Terms of use
- Copyright date:
- 2005
- Notes:
- 4 pages; author list changed, acknowledgement added
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