Two-sided random walks conditioned to have no intersections

Details Two-sided random walks conditioned to have no intersections Two-sided random walks conditioned to have no intersections

2011-06-27

arxiv.org/abs/1106.5295v1

Mathematics

Probability

25 pages

Scientific paper

Let $S^{1},S^{2}$ be independent simple random walks in $\mathbb{Z}^{d}$
($d=2,3$) started at the origin. We construct two-sided random walk paths
conditioned that $S^{1}[0,\infty) \cap S^{2}[1, \infty) = \emptyset$.

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