Convergence of radial loop-erased random walk in the natural parametrization

Gregory F. Lawler; Fredrik Viklund

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arXiv · 1703.03729

Convergence of radial loop-erased random walk in the natural parametrization

Gregory F. Lawler·Fredrik Viklund

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Abstract

In recent work we have shown that loop-erased random walk (LERW) connecting two boundary points of a domain converges to the chordal Schramm-Loewner evolution (SLE(2)) in the sense of curves parametrized by Minkowski content. In this note we explain how to derive the analogous result for LERW from a boundary point to an interior point, converging towards radial SLE(2).

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Gregory F. Lawler, Fredrik Viklund. 2017-03-10. Convergence of radial loop-erased random walk in the natural parametrization. https://arxiv.org/abs/1703.03729

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