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.
https://hal-upec-upem.archives-ouvertes.fr/hal-01113764 Contributor : Julien BrémontConnect in order to contact the contributor Submitted on : Friday, February 6, 2015 - 11:25:37 AM Last modification on : Saturday, January 15, 2022 - 4:07:44 AM Long-term archiving on: : Thursday, May 7, 2015 - 10:26:54 AM
Julien Brémont. On planar random walks in environments invariant by horizontal translations. Markov Processes Related Fields, 2016, 22 (2), pp.267-310. ⟨hal-01113764⟩