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arXiv · 1508.02542

On the range of the Campanino and P\'etritis random walk

Nadine Guillotin-Plantard·Françoise Pène
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Abstract

We are interested in the behaviour of the range of the Campanino and P\'etritis random walk, namely a simple random walk on the lattice $\mathbb Z^2$ with random orientations of the horizontal layers. We also study the range of random walks in random scenery, from which the asymptotic behaviour of the range of the first coordinate of the Campanino and P\'etritis random walk can be deduced.

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Nadine Guillotin-Plantard, Françoise Pène. 2015-08-11. On the range of the Campanino and P\'etritis random walk. https://arxiv.org/abs/1508.02542

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