Continuity of the SLE trace in simply connected domains

Details Continuity of the SLE trace in simply connected domains Continuity of the SLE trace in simply connected domains

2008-10-23

arxiv.org/abs/0810.4327v2

Mathematics

Probability

15 pages, 2 figures. Statement of theorem 1.2 corrected

Scientific paper

We prove that the $SLE_\kappa$ trace in any simply connected domain $G$ is
continuous (except possibly near its endpoints) if $\kappa<8$. We also prove an
SLE analog of Makarov's Theorem about the support of harmonic measure.

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