Restricting SLE(8/3) to an annulus
| dc.creator | Bauer, Robert O. | |
| dc.date | 2006-02-17 | |
| dc.date | 2006-10-26 | |
| dc.date.accessioned | 2026-07-07T07:03:34Z | |
| dc.date.available | 2026-07-07T07:03:34Z | |
| dc.description | We study the probability that chordal $\text{SLE}_{8/3}$ in the unit disk from $\exp(ix)$ to 1 avoids the disk of radius $q$ centered at zero. We find the initial/boundary-value problem satisfied by this probability as a function of $x$ and $a=\ln q$, and show that asymptotically as $q$ tends to one this probability decays like $\exp(-cx/(1-q))$ with $c=5π/8$ for $x\in[0,π]$. We also give a representation of this probability as a functional of a Legendre process. | |
| dc.description | 28 pages, corrected proof of asymptotic dependence | |
| dc.identifier | https://arxiv.org/abs/math/0602391 | |
| dc.identifier | http://arxiv.org/abs/math/0602391 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109017 | |
| dc.subject | Probability | |
| dc.subject | Complex Variables | |
| dc.subject | 60K35; 60H30 | |
| dc.title | Restricting SLE(8/3) to an annulus | |
| dc.type | text |