Duality of chordal SLE, II

We improve the geometric properties of \operatorname{SLE}(\kappa;\vec{\rho}) processes derived in an earlier paper, which are then used to obtain more results about the duality of SLE. We find that for κ∈(4, 8), the boundary of a standard chordal SLE(κ) hull stopped on swallowing a fixed x∈ℝ∖{0} is the image of some \operatorname{SLE}(16/\kappa;\vec {\rho}) trace started from a random point. Using this fact together with a similar proposition in the case that κ≥8, we obtain a description of the boundary of a standard chordal SLE(κ) hull for κ>4, at a finite stopping time. Finally, we prove that for κ>4, in many cases, a chordal or strip \operatorname{SLE}(\kappa;\vec{\rho}) trace a.s. ends at a single point.