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The randomly oriented Manhattan lattice in 2D is transient

Bou-Rabee, Ahmed et al.
arXiv (All) · Papers
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probability
Independently orient each horizontal and vertical line of $\mathbb{Z}^2$ by a fair coin. A walker chooses one of the two lines through its current position with equal probability and takes one step in the direction of that line. Redner (1989) introduced this walk as a model of transport in an isotro
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