Critical exponents for two-dimensional percolation

Stanislav Smirnov, Wendelin Werner

Published 2001-09-18, updated 2001-12-17Version 2

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.