Hausdorff dimensions for SLE 6
Résumé
We prove that the Hausdorff dimension of the trace of SLE 6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler– Schramm–Werner) that the dimension of its boundary is 4/3. We also prove that, for all κ < 8, the SLE κ trace has cut-points.
Domaines
Probabilités [math.PR]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
|---|---|
| Commentaire | SHERPA/RoMEO : green Can archive pre-print and post-print or publisher's version/PDF |
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