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

Published 10 Mar 2017 in math.PR | (1703.03729v1)

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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