The infinite two-sided loop-erased random walk
- Resource Type
- Working Paper
- Authors
- Lawler, Gregory F.
- Source
- Subject
- Mathematics - Probability
60K35
- Language
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.