E. Daryaei, N. A. M. Araujo, K. J. Schrenk, S. Rouhani, H. J. Herrmann
We show that in the continuum limit watersheds are Schramm-Loewner Evolution (SLE) curves. Several numerical evaluations are applied to ascertain this. All calculations are consistent with SLE$_\kappa$, with $\kappa=1.734\pm0.005$, being the only known physical example of an SLE with $\kappa<2$. This constitutes a strong indication for conformal invariance in fracturing random landscapes.
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http://arxiv.org/abs/1206.3159
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