The infinite two-sided loop-erased random walk

Published 19 Feb 2018 in math.PR | (1802.06667v1)

Abstract: The loop-erased random walk (LERW) in $ \Z^d, d \geq 2$, is obtained by erasing loops chronologically from simple random walk. In this paper we show the existence of the two-sided LERW which can be considered as the distribution of the LERW as seen by a point in the "middle" of the path.

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Authors (1)

Gregory F. Lawler

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