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.
Citation
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
