Conditioning SLEs and loop erased random walks

Michel Bauer; Denis Bernard; Tom Kennedy

hal-00287985, version 1

Conditioning SLEs and loop erased random walks

Michel Bauer () ^1, 2, Denis Bernard ², Tom Kennedy ³

Résumé : We discuss properties of dipolar SLE(k) under conditioning. We show that k=2, which describes continuum limits of loop erased random walks, is characterized as being the only value of k such that dipolar SLE conditioned to stop on an interval coincides with dipolar SLE on that interval. We illustrate this property by computing a new bulk passage probability for SLE(2).

1 : Institut de Physique Théorique (ex SPhT) (IPHT)
CNRS : URA2306 – CEA : DSM/IPHT
2 : Laboratoire de Physique Théorique de l'ENS (LPTENS)
CNRS : UMR8549 – Université Pierre et Marie Curie [UPMC] - Paris VI – Ecole normale supérieure de Paris - ENS Paris
3 : Department of Mathematics, University of Arizona
State of Arizona

hal-00287985, version 1
http://hal.archives-ouvertes.fr/hal-00287985
oai:hal.archives-ouvertes.fr:hal-00287985
Contributeur : Michel Bauer <>
Soumis le : Vendredi 13 Juin 2008, 15:19:34
Dernière modification le : Vendredi 13 Juin 2008, 15:23:02

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arXiv : 0806.2246

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