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

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).

arXiv comment23 pages, no figures

References in corpus (1)

• Escape probability and transience for SLE

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