Continuity of the SLE trace in simply connected domains
classification
🧮 math.PR
math-phmath.CVmath.MP
keywords
connectedkappaprovesimplytraceanalogcontinuitycontinuous
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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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