Biased random walk on the interlacement set

Abstract

We study a biased random walk on the interlacement set of ${\mathbb{Z}}^d$ for $d\ge 3$. Although the walk is always transient, we can show, in the case $d=3$, that for any value of the bias the walk has a zero limiting speed and actually moves slower than any power.

23 pages, 4 figures; to appear in Annales de l'Institut Henri Poincare (B) Probability and Statistics

References in corpus (1)

• Conditional decoupling of random interlacements

Cited by in corpus (2)

• Conditional decoupling of random interlacements
• An improved decoupling inequality for random interlacements