On Planar Random Walks in Environments Invariant by Horizontal Translations

#### J. Bremont

2016, v.22, Issue 2, 267-310

ABSTRACT

We give a recurrence criterion for a model of planar random walk in environment invariant under horizontal translations. Some examples are next developed, for instance when the environment is produced by a dynamical system.

Keywords: Markov chain, recurrence criterion, continued fraction