On the limiting velocity of random walks in mixing random environment

2011/06/27 by Xiaoqin Guo, Guo, Xiaoqin
Mathematics · #60K37 #60K40 #82D30 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60K37 #msc:60K40 #msc:82D30

paper · pdf · doi:10.48550/arxiv.1106.5442

33 pages, 2 figures

arxiv created 2012/09/10 · arxiv updated 2012/09/11

Abstract

We consider random walks in strong-mixing random Gibbsian environments in ℤ^d, d≥ 2. Based on regeneration arguments, we will first provide an alternative proof of Rassoul-Agha's conditional law of large numbers (CLLN) for mixing environment Rassoul-Agha (2005). Then, using coupling techniques, we show that there is at most one nonzero limiting velocity in high dimensions (d≥ 5).

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