Hausdorff dimensions for SLE_6
Probability
2007-05-23 v3 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.math/0204208,
title = {Hausdorff dimensions for SLE_6},
author = {Vincent Beffara},
journal= {arXiv preprint arXiv:math/0204208},
year = {2007}
}
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)