A generalisation of Schramm's formula for SLE(2)

Details A generalisation of Schramm's formula for SLE(2) A generalisation of Schramm's formula for SLE(2)

2008-10-24

arxiv.org/abs/0810.4503v1

J. Stat. Mech. (2009) P02033

Physics

Mathematical Physics

16 pages, 3 figures, TikZ

Scientific paper

10.1088/1742-5468/2009/02/P02033

The scaling limit of planar loop-erased random walks is described by a
stochastic Loewner evolution with parameter kappa=2. In this note SLE(2) in the
upper half-plane H minus a simply-connected compact subset K of H is studied.
As a main result, the left-passage probability with respect to K is explicitly
determined.

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