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Critical exponents for two-dimensional percolation (2006)

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.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00119178/en/
Publisher HAL - CCSd - CNRS
Contributors Import Arxiv
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Probability, Mathematics/Mathematical Physics, Physics/Mathematical Physics
Type ART_ACL
Language Englisch

Publications citing this publication (3)
One-Arm Exponent for Critical 2D Percolation (2001)
Analyse stochastique des réseaux spatiaux. (2006)
Conformally invariant paths in 2D statistical physics : with a guide to Schramm-Löwner Evolution (2006)