Can I read A short proof of the Harris-Kesten Theorem on EtoBox?

A short proof of the Harris-Kesten Theorem by Bollobas, Bela; Riordan, Oliver is a scholarly article available to read on EtoBox.

What is A short proof of the Harris-Kesten Theorem about?

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 $p>1/2$.

Author

Bollobas, Bela; Riordan, Oliver

Published

2004

Language

EN