| Título: | Hausdorff Dimension of the SLE Curve Intersected with the Real Line |
| Autores: |
Alberts, Tom; Courant Institute of Mathematical Sciences Sheffield, Scott; Courant Institute of Mathematical Sciences |
| Fecha: | 2008-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
SLE; Hausdorff dimension; Two-point hitting probability 60D05;60K35;28A80 |
| Descripción: | We establish an upper bound on the asymptotic probability of an $SLE(\kappa)$ curve hitting two small intervals on the real line as the interval width goes to zero, for the range $4 < \kappa < 8$. As a consequence we are able to prove that the random set of points in $R$ hit by the curve has Hausdorff dimension $2-8/\kappa$, almost surely. |
| Idioma: | No aplica |
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