Biased random walk on the interlacement set

24 Apr 2017 · Fribergh Alexander, Popov Serguei ·

We study a biased random walk on the interlacement set of $\mathbb{Z}^d$ for $d\geq 3$. 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.