Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE)

Rami Fakhry, Dapeng Zhan

In the paper we prove that, for $\kappa \in (0,8)$, the $n$-point boundary Green's function of exponent $\frac{8}{\kappa }-1$ for chordal SLE${}_{\kappa }$ exists. We also prove that the convergence is unifo…