Hausdorff dimensions for SLE₆
classification
🧮 math.PR
math.CV
keywords
dimensionhausdorffkappaprovetracealmostboundarycut-points
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We prove that the Hausdorff dimension of the trace of SLE_6 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 \kappa<8, the SLE_{\kappa} trace has cut-points.
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