SLE et invariance conforme
[SLE and conformal invariance]
Séminaire Bourbaki : volume 2003/2004, exposés 924-937, Astérisque, no. 299 (2005), Talk no. 925, pp. 15-28.

The so-called Stochastic Loewner Evolutions form a family of random curves in the complex plane, which enjoy a (statistical) conformal invariance property. They have a crucial role in the analysis of the asymptotic behaviour of many discrete models in statistical physics. In particular, they have yielded rigorous proofs of several important conjectures in this field.

Les processus de Schramm-Loewner (SLE) induisent des courbes aléatoires du plan complexe, qui vérifient une propriété d'invariance conforme. Ce sont des outils fondamentaux pour la compréhension du comportement asymptotique en régime critique de certains modèles discrets intervenant en physique statistique ; ils ont permis notamment d'établir rigoureusement certaines conjectures importantes dans ce domaine.

Classification: 60J65,  60K35,  82Bxx,  43xx,  30C35
Keywords: stochastic Loewner equation, conformal invariance, planar brownian motion, percolation, random walk, scaling limit
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Bertoin, Jean. SLE et invariance conforme, in Séminaire Bourbaki : volume 2003/2004, exposés 924-937, Astérisque, no. 299 (2005), Talk no. 925, pp. 15-28. http://archive.numdam.org/item/SB_2003-2004__46__15_0/

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