Let be a correlated random walk in random
environment. For the sub-linear regime, that is, almost surely but ,
we show that there is $0<s<1$, such that almost surely , for all s'>s. This result characterizes
the slowdown property of the walk.
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WANG Huaming. Slowdown Property for Correlated Random Walk in Random Environment. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2016, 32(4): 341-348.