The Green function for the radial Schramm-Loewner evolution

Abstract

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

Publication
J. Phys. A
Tom Alberts
Tom Alberts
Associate Professor of Mathematics
University of Utah
Michael Kozdron
Michael Kozdron
Associate Professor of Mathematics
University of Regina

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