Biased random walk on the interlacement set
Probability
2019-05-28 v2
Abstract
We study a biased random walk on the interlacement set of for . Although the walk is always transient, we can show, in the case , that for any value of the bias the walk has a zero limiting speed and actually moves slower than any power.
Cite
@article{arxiv.1610.02979,
title = {Biased random walk on the interlacement set},
author = {Alexander Fribergh and Serguei Popov},
journal= {arXiv preprint arXiv:1610.02979},
year = {2019}
}
Comments
23 pages, 4 figures; to appear in Annales de l'Institut Henri Poincare (B) Probability and Statistics