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arXiv · 1006.4936

SLE curves and natural parametrization

Gregory F. Lawler·Wang Zhou
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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.

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Gregory F. Lawler, Wang Zhou. 2010-06-25. SLE curves and natural parametrization. https://doi.org/10.1214/12-aop742

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