Ju n 20 08 Conditioning SLEs and loop erased random walks
نویسندگان
چکیده
We discuss properties of dipolar SLEκ under conditioning. We show that κ = 2, which describes continuum limits of loop erased random walks, is characterized as being the only value of κ 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 SLE2. 1 Institut de Physique Théorique de Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France and Laboratoire de Physique Théorique, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France. Member of the CNRS; Laboratoire de Physique Théorique, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France. Department of Mathematics, University of Arizona, Tucson, AZ 85721.
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تاریخ انتشار 2008