Mathematical Research Letters

Volume 8, Issue 6, November 2001 pp. 729-744.

Critical exponents for two-dimensional percolation

Authors: Stanislav Smirnov and Wendelin Werner
Author institution: Royal Institute of Technology (KTH), and Université Paris-Sud

Summary: 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.

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