A generalisation of Schramm's formula for SLE(2)
Mathematical Physics
2009-11-13 v1 Statistical Mechanics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0810.4503,
title = {A generalisation of Schramm's formula for SLE(2)},
author = {Christian Hagendorf},
journal= {arXiv preprint arXiv:0810.4503},
year = {2009}
}
Comments
16 pages, 3 figures, TikZ