On the range of the Campanino and Pétritis random walk

Abstract

We are interested in the behaviour of the range of the Campanino and Pétritis 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 Pétritis random walk can be deduced.

References in corpus (2)

• A local limit theorem for random walks in random scenery and on randomly oriented lattices
• Range of a Transient 2d-Random Walk