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Comptes Rendus Mathématique
Sous presse. Epreuves corrigées par l'auteur. Disponible en ligne depuis le mardi 7 janvier 2014
Doi : 10.1016/j.crma.2013.12.002
Received : 4 December 2013 ;  accepted : 4 December 2013
Convergence of Ising interfaces to Schrammʼs SLE curves
Convergence des interfaces dʼIsing vers les courbes SLE introduites par Schramm
 

Dmitry Chelkak a, b , Hugo Duminil-Copin c , Clément Hongler d , Antti Kemppainen e , Stanislav Smirnov a, c
a Chebyshev Laboratory, Department of Mathematics and Mechanics, St. Petersburg State University, Russian Federation 
b St. Petersburg Department of Steklov Mathematical Institute (PDMI RAS), Russian Federation 
c Section de Mathématiques, Université de Genève, Switzerland 
d Department of Mathematics, Columbia University, United States 
e Department of Mathematics and Statistics, University of Helsinki, Finland 

Abstract

We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schrammʼs SLE curves with parameters   and  , respectively.

The full text of this article is available in PDF format.
Résumé

Cet article explique comment combiner certains résultats antérieurs des différents auteurs afin de montrer la convergence forte des interfaces du modèle dʼIsing critique planaire et de sa représentation FK vers les courbes   et   introduites par Schramm.

The full text of this article is available in PDF format.


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