Mathematics – Probability
Scientific paper
2011-10-21
Mathematics
Probability
22 pages, 1 figure
Scientific paper
We consider a model of random walk in ${\mathbb Z}^2$ with (fixed or random) orientation of the horizontal lines (layers) and with iid probability to stay on these lines. We prove the transience of the walk for any fixed orientations under general hypotheses. We also establish a result of convergence in distribution for this walk with suitable normalizations under more precise assumptions.
Devulder Alexis
Pène Françoise
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