Stochastic Loewner evolution in doubly connected domains
| dc.creator | Zhan, Dapeng | |
| dc.date | 2003-10-22 | |
| dc.date | 2004-09-05 | |
| dc.date.accessioned | 2026-07-07T05:02:10Z | |
| dc.date.available | 2026-07-07T05:02:10Z | |
| dc.description | This paper introduces the annulus SLE$_κ$ processes in doubly connected domains. Annulus SLE$_6$ has the same law as stopped radial SLE$_6$, up to a time-change. For $κ\not=6$, some weak equivalence relation exists between annulus SLE$_κ$ and radial SLE$_κ$. Annulus SLE$_2$ is the scaling limit of the corresponding loop-erased conditional random walk, which implies that a certain form of SLE$_2$ satisfies the reversibility property. We also consider the disc SLE$_κ$ process defined as a limiting case of the annulus SLE's. Disc SLE$_6$ has the same law as stopped full plane SLE$_6$, up to a time-change. Disc SLE$_2$ is the scaling limit of loop-erased random walk, and is the reversal of radial SLE$_2$. | |
| dc.description | 45 pages, no figures, published in Probability Theory and Related Fields | |
| dc.identifier | https://arxiv.org/abs/math/0310350 | |
| dc.identifier | http://arxiv.org/abs/math/0310350 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68953 | |
| dc.subject | Probability | |
| dc.subject | Complex Variables | |
| dc.title | Stochastic Loewner evolution in doubly connected domains | |
| dc.type | text |