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Journal Articles Markov Processes And Related Fields Year : 2003

Random walks on randomly oriented lattices

Massimo Campanino
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Abstract

Simple random walks on various types of partially horizontally oriented regular lattices are considered. The horizontal orientations of the lattices can be of various types (deterministic or random) and depending on the nature of the orientation the asymptotic behaviour of the random walk is shown to be recurrent or transient. In particular, for randomly horizontally oriented lattices the random walk is almost surely transient.

Dates and versions

hal-00121151 , version 1 (19-12-2006)

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Cite

Massimo Campanino, Dimitri Petritis. Random walks on randomly oriented lattices. Markov Processes And Related Fields, 2003, 9, pp.391-412. ⟨hal-00121151⟩
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