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arXiv · 0806.2246

Conditioning SLEs and loop erased random walks

Michel Bauer·Denis Bernard·Tom Kennedy
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Abstract

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).

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Michel Bauer, Denis Bernard, Tom Kennedy. 2008-06-13. Conditioning SLEs and loop erased random walks. https://doi.org/10.1063/1.3097299

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