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Critical exponents for two-dimensional percolation

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.
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Submitted on : Thursday, December 7, 2006 - 10:19:27 PM
Last modification on : Tuesday, July 6, 2021 - 3:39:56 AM

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Stanislav Smirnov, Wendelin Werner. Critical exponents for two-dimensional percolation. Mathematical Research Letters, 2001, 8, pp.729-744. ⟨hal-00119178⟩



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