The dimension of the SLE curves
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Open Access
- 1 July 2008
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 36 (4) , 1421-1452
Abstract
Let γ be the curve generating a Schramm–Loewner Evolution (SLE) process, with parameter κ≥0. We prove that, with probability one, the Hausdorff dimension of γ is equal to Min(2, 1+κ/8).Keywords
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