Biased random walk on the interlacement set

Alexander Fribergh; Serguei Popov

doi:10.1214/17-aihp841

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arXiv · 1610.02979

Biased random walk on the interlacement set

Alexander Fribergh·Serguei Popov

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Abstract

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.

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Alexander Fribergh, Serguei Popov. 2017-04-24. Biased random walk on the interlacement set. https://doi.org/10.1214/17-aihp841

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