Critical exponents for two-dimensional percolation
Probability
2017-07-18 v2 Mathematical Physics
math.MP
Abstract
We show how to combine Kesten's scaling relations, the determination of critical exponents associated to the stochastic Loewner evolution process by Lawler, Schramm, and Werner, and Smirnov's proof of Cardy's formula, in order to determine the existence and value of critical exponents associated to percolation on the triangular lattice.
Keywords
Cite
@article{arxiv.math/0109120,
title = {Critical exponents for two-dimensional percolation},
author = {Stanislav Smirnov and Wendelin Werner},
journal= {arXiv preprint arXiv:math/0109120},
year = {2017}
}
Comments
to appear in Math. Res. Lett