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July 2004 Hausdorff dimensions for SLE6
Vincent Beffara
Ann. Probab. 32(3B): 2606-2629 (July 2004). DOI: 10.1214/009117904000000072

Abstract

We prove that the Hausdorff dimension of the trace of SLE6 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 SLEκ trace has cut-points.

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Vincent Beffara. "Hausdorff dimensions for SLE6." Ann. Probab. 32 (3B) 2606 - 2629, July 2004. https://doi.org/10.1214/009117904000000072

Information

Published: July 2004
First available in Project Euclid: 6 August 2004

zbMATH: 1055.60036
MathSciNet: MR2078552
Digital Object Identifier: 10.1214/009117904000000072

Subjects:
Primary: 28A80 , 60D05 , 60G17

Keywords: Hausdorff dimension , SLE

Rights: Copyright © 2004 Institute of Mathematical Statistics

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Vol.32 • No. 3B • July 2004
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