Mathematics – Probability
Scientific paper
2011-06-27
Mathematics
Probability
30 pages, 1 figure
Scientific paper
We consider random walks in strong-mixing random Gibbsian environments in $\mathbb{Z}^d, d\ge 2$. Based on regeneration arguments, we will first provide an alternative proof of Rassoul-Agha's conditional law of large numbers (CLLN) for mixing environment \cite{R-A3}. Then, using coupling techniques, we show that there is at most one nonzero limiting velocity in high dimensions ($d\ge 5$).
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