Abstract
We prove the existence and nontriviality of the $d$-dimensional 4 Minkowski content for the Schramm–Loewner evolution ($\mathrm{SLE} _{\kappa}$) with $\kappa<8$ and $d=1+\frac{\kappa}{8}$. We show that this is a multiple of the natural parameterization.
Citation
Gregory F. Lawler. Mohammad A. Rezaei. "Minkowski content and natural parameterization for the Schramm–Loewner evolution." Ann. Probab. 43 (3) 1082 - 1120, May 2015. https://doi.org/10.1214/13-AOP874
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