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The dimension of the SLE curves
2008
Annals of Probability
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Let $\gamma$ be the curve generating a Schramm--Loewner Evolution (SLE) process, with parameter $\kappa\geq0$. We prove that, with probability one, the Hausdorff dimension of $\gamma$ is equal to $\operatorname {Min}(2,1+\kappa/8)$.
doi:10.1214/07-aop364
fatcat:gwirnquh4vfd3m46ial4olxgty