The invariance principle and the large deviation for the biased random walk on $\mathbb{Z}^d$

Kainan Xiang; Longmin Wang; Vladas Sidoravicius; Yuelin Liu

arxiv: 1811.03858 · v1 · pith:DBKHE7ABnew · submitted 2018-11-09 · 🧮 math.PR

The invariance principle and the large deviation for the biased random walk on mathbb{Z}^d

Yuelin Liu , Vladas Sidoravicius , Longmin Wang , Kainan Xiang This is my paper

classification 🧮 math.PR

keywords biaseddeviationinvariancelambdalargemathbbprinciplerandom

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In this paper, we establish the invariance principle and the large deviation for the biased random walk $RW_{\lambda}$ with $\lambda \in [0,1)$ on $\mathbb{Z}^d, d\geq 1$.

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The invariance principle and the large deviation for the biased random walk on mathbb{Z}^d

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