. 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)]).
Random Walk on a Randomly Oriented Honeycomb Lattice / Bosi, Gianluca; Campanino, Massimo. - In: MARKOV PROCESSES AND RELATED FIELDS. - ISSN 1024-2953. - STAMPA. - 25:1(2019), pp. 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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