Continuity of the SLE trace in simply connected domains
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We prove that the $SLE_κ$ trace in any simply connected domain $G$ is continuous (except possibly near its endpoints) if $κ<8$. We also prove an SLE analog of Makarov's Theorem about the support of harmonic measure.
15 pages, 2 figures. Statement of theorem 1.2 corrected
15 pages, 2 figures. Statement of theorem 1.2 corrected