Work

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

Year: 2018

Type: preprint

Abstract: 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 $\mathbb{Z}^d, d\geq 1$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1811.03858

Authors: Liu, Yuelin, Sidoravicius, Vladas, Wang, Longmin, Xiang, Kainan

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2899868615

Cites: 17

Cited by:

Related to: 10