Conditioning SLEs and loop erased random walks

Details Conditioning SLEs and loop erased random walks Conditioning SLEs and loop erased random walks

2008-06-13

arxiv.org/abs/0806.2246v1

J. Math. Phys. 50, 043301 (2009)

Physics

Mathematical Physics

25 pages, 1 figure

Scientific paper

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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