. We study the recurrence behaviour of random walks on partially oriented honeycomb lattices. The vertical edges are undirected while the orientation of the horizontal edges is random: depending on their distribution, we prove a.s. transience in some cases, and a.s. recurrence in other ones. The results extend those obtained for the partially oriented square grid lattices ([Campanino and Petritis(2003)], [Campanino and Petritis(2014)]).
Bosi, G., Campanino, M. (2019). Random Walk on a Randomly Oriented Honeycomb Lattice. MARKOV PROCESSES AND RELATED FIELDS, 25(1), 75-99.
Random Walk on a Randomly Oriented Honeycomb Lattice
BOSI, GIANLUCA;Campanino, Massimo
2019
Abstract
. We study the recurrence behaviour of random walks on partially oriented honeycomb lattices. The vertical edges are undirected while the orientation of the horizontal edges is random: depending on their distribution, we prove a.s. transience in some cases, and a.s. recurrence in other ones. The results extend those obtained for the partially oriented square grid lattices ([Campanino and Petritis(2003)], [Campanino and Petritis(2014)]).File in questo prodotto:
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