Abstract
Developing the theory of two-sided radial and chordal $\mathit{SLE}$, we prove that the natural parametrization on $\mathit{SLE}_{\kappa}$ curves is well defined for all $\kappa<8$. Our proof uses a two-interior-point local martingale.
Citation
Gregory F. Lawler. Wang Zhou. "SLE curves and natural parametrization." Ann. Probab. 41 (3A) 1556 - 1584, May 2013. https://doi.org/10.1214/12-AOP742
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