A note on the Harris-Kesten Theorem

Details A note on the Harris-Kesten Theorem A note on the Harris-Kesten Theorem

2005-09-06

arxiv.org/abs/math/0509131v2

Europ. J. Combin. 28 (2007), 1720-1723.

Mathematics

Probability

4 pages; author list changed, acknowledgement added

Scientific paper

10.1016/j.ejc.2006.05.022

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.

Affiliated with

Also associated with

No associations

Rating

A note on the Harris-Kesten Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on the Harris-Kesten Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on the Harris-Kesten Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375557