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23 April 2024
 
  » arxiv » math.PR/0109120

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Critical exponents for two-dimensional percolation
Stanislav Smirnov ; Wendelin Werner ;
Date 18 Sep 2001
Subject Probability; Mathematical Physics MSC-class: 82B43 ; 60K35 | math.PR math-ph math.MP
AbstractWe 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.
Source arXiv, math.PR/0109120
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