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Continuity of the SLE trace in simply connected domains |
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| Authors: | Christophe Garban Steffen Rohde Oded Schramm |
| Institution: | 1.CNRS, Ecole Normale Suprieure de Lyon,UMPA,Lyon Cedex 07,France;2.Department of Mathematics,University of Washington,Seattle,USA;3.Microsoft Corporation,One Microsoft way,Redmond,USA |
| Abstract: | 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. |
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