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

2017/03/10 by Lawler, Gregory F., Viklund, Fredrik
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1703.03729

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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