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

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 Z2 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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