Minkowski content and natural parameterization for the Schramm-Loewner evolution

We prove the existence and nontriviality of the $d$-dimensional 4 Minkowski content for the Schramm-Loewner evolution ($\mathrm {SLE}_κ$) with $κ<8$ and $d=1+\fracκ{8}$. We show that this is a multiple of the natural parameterization.

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