Random walks on randomly oriented lattices

Details Random walks on randomly oriented lattices Random walks on randomly oriented lattices

2001-11-29

arxiv.org/abs/math/0111305v1

Markov Processes and related Fields, 9:391--412 (2003)

Mathematics

Probability

Scientific paper

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.

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