Hausdorff dimensions for SLE6
Vincent Beffara
Source: Ann. Probab. Volume 32, Number 3B
(2004), 2606-2629.
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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Permanent link to this document: http://projecteuclid.org/euclid.aop/1091813625
Digital Object Identifier: doi:10.1214/009117904000000072
Mathematical Reviews number (MathSciNet): MR2078552
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