Transient Random Walks on 2D-Oriented Lattices

  title={Transient Random Walks on 2D-Oriented Lattices},
  author={Nadine Guillotin-Plantard and Arnaud Le Ny},
  journal={Theory of Probability and Its Applications},
We study the asymptotic behavior of the simple random walk on oriented versions ofZ 2 . The considered lattices are not directed on the vertical axis but unidirectional on the horizontal one, with random orientations whose distributions are generated by a dynamical system. We flnd a su‐cient condition on the smoothness of the generation for the transience of the simple random walk on almost every such oriented lattices, and as an illustration we provide a wide class of examples of inhomogeneous… Expand
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