Up-to-constants bounds on the two-point Green's function for SLE curves

Abstract

The Green's function for the chordal Schramm-Loewner evolution $SL{E}_{\kappa }$ for $0<\kappa <8$, gives the normalized probability of getting near points. We give up-to-constant bounds for the two-point Green's function.

16 pages. Part of arXiv:1203.3259 intended for publication