The dimension of the SLE curves

Vincent Beffara
2008 Annals of Probability  
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).
doi:10.1214/07-aop364 fatcat:gwirnquh4vfd3m46ial4olxgty