The dimension of the SLE curves
| dc.creator | Beffara, Vincent | |
| dc.date | 2002-11-20 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T09:58:45Z | |
| dc.date.available | 2026-07-07T09:58:45Z | |
| dc.description | Let $γ$ be the curve generating a Schramm--Loewner Evolution (SLE) process, with parameter $κ\geq0$. We prove that, with probability one, the Hausdorff dimension of $γ$ is equal to $\operatorname {Min}(2,1+κ/8)$. | |
| dc.description | Published in at http://dx.doi.org/10.1214/07-AOP364 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0211322 | |
| dc.identifier | http://arxiv.org/abs/math/0211322 | |
| dc.identifier | Annals of Probability 2008, Vol. 36, No. 4, 1421-1452 | |
| dc.identifier | doi:10.1214/07-AOP364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167831 | |
| dc.subject | Probability | |
| dc.subject | Complex Variables | |
| dc.subject | 60D05, 60G17, 28A80 (Primary) | |
| dc.title | The dimension of the SLE curves | |
| dc.type | text |