Duality of Chordal SLE, II

We improve the geometric properties of SLE(κ; ~ ρ) 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 SLE(16/κ; ~ ρ) 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, the limit of a chordal or strip SLE(κ; ~ ρ) trace exists.