The invariance principle and the large deviation for the biased random walk on $\mathbb{Z}^d$
Yuelin Liu, Vladas Sidoravicius, Longmin Wang, Kainan Xiang·2018-11-09·via math.PR updates on arXiv.org
In this paper, we establish the invariance principle and the large deviation for the biased random walk $RW_λ$ with $λ\in [0,1)$ on $\mathbb{Z}^d, d\geq 1$.