Duality of Chordal SLE, II
| dc.creator | Zhan, Dapeng | |
| dc.date | 2008-03-14 | |
| dc.date | 2008-03-23 | |
| dc.date.accessioned | 2026-07-07T09:27:46Z | |
| dc.date.available | 2026-07-07T09:27:46Z | |
| dc.description | We improve the geometric properties of SLE$(κ;\vecρ)$ processes derived in an earlier paper, which are then used to obtain more results about the duality of SLE. We find that for $κ\in (4,8)$, the boundary of a standard chordal SLE$(κ)$ hull stopped on swallowing a fixed $x\in\R\sem\{0\}$ is the image of some SLE$(16/κ;\vecρ)$ trace started from a random point. Using this fact together with a similar proposition in the case that $κ\ge 8$, 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$(κ;\vecρ)$ trace exists. | |
| dc.description | 30 pages; some changes have been made to Introduction and References | |
| dc.identifier | https://arxiv.org/abs/0803.2223 | |
| dc.identifier | http://arxiv.org/abs/0803.2223 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157221 | |
| dc.subject | Probability | |
| dc.subject | 60D05 | |
| dc.title | Duality of Chordal SLE, II | |
| dc.type | text |