The Green function for the radial Schramm–Loewner evolution

Tom Alberts, Michael J Kozdron, Gregory F Lawler
2012 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/45/49/494015 fatcat:iemrxoxjwbeyjlq2pzlxtxvkcq