Vincent Beffara
Published 2002-04-16, updated 2005-03-30Version 3
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 \kappa<8, the SLE_{\kappa} trace has cut-points.
Comments: Published at http://dx.doi.org/10.1214/009117904000000072 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal: Annals of Probability 2004, Vol. 32, No. 3, 2606-2629
The dimension of the SLE curves
Lower Bounds of the Hausdorff dimension for Feller processes
Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet
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