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arXiv · 1207.3721

The Green's function for the radial Schramm-Loewner evolution

Tom Alberts·Michael J. Kozdron·Gregory F. Lawler
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Abstract

We prove the existence of the Green's function for radial SLE(k) for k<8. Unlike the chordal case where an explicit formula for the Green's function is known for all values of k<8, we give an explicit formula only for k=4. For other values of k, we give a formula in terms of an expectation with respect to SLE conditioned to go through a point.

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Tom Alberts, Michael J. Kozdron, Gregory F. Lawler. 2012-07-16. The Green's function for the radial Schramm-Loewner evolution. https://doi.org/10.1088/1751-8113%2F45%2F49%2F494015

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