A simple proof of exponential decay in the two dimensional percolation model
Probability
2009-11-13 v2
Abstract
Kesten showed the exponential decay of percolation probability in the subcritical phase for the two-dimensional percolation model. This result implies his celebrated computation that for bond percolation in the square lattice, and site percolation in the triangular lattice, respectively. In this paper, we present a simpler proof for Kesten's theorem.
Keywords
Cite
@article{arxiv.0812.1384,
title = {A simple proof of exponential decay in the two dimensional percolation model},
author = {Yu Zhang},
journal= {arXiv preprint arXiv:0812.1384},
year = {2009}
}
Comments
9 pages and one figure