On the range of the Campanino and P\'etritis random walk
Probability
2015-08-12 v1
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 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.
Keywords
Cite
@article{arxiv.1508.02542,
title = {On the range of the Campanino and P\'etritis random walk},
author = {Nadine Guillotin-Plantard and Françoise Pène},
journal= {arXiv preprint arXiv:1508.02542},
year = {2015}
}