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2020 The infinite two-sided loop-erased random walk
Gregory F. Lawler
Electron. J. Probab. 25: 1-42 (2020). DOI: 10.1214/20-EJP476

Abstract

The loop-erased random walk (LERW) in $ {\mathbb {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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Gregory F. Lawler. "The infinite two-sided loop-erased random walk." Electron. J. Probab. 25 1 - 42, 2020. https://doi.org/10.1214/20-EJP476

Information

Received: 2 January 2013; Accepted: 13 December 2014; Published: 2020
First available in Project Euclid: 23 July 2020

zbMATH: 07252719
MathSciNet: MR4136467
Digital Object Identifier: 10.1214/20-EJP476

Subjects:
Primary: 60K35

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Vol.25 • 2020
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