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

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arxiv 1811.03858 v1 pith:DBKHE7AB submitted 2018-11-09 math.PR

classification math.PR
keywords biaseddeviationinvariancelambdalargemathbbprinciplerandom
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abstract

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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