Law of large numbers for non-elliptic random walks in dynamic random environments
We prove a law of large numbers for a class of Zd-valued random walks in dynamic random environments, including non-elliptic examples. We assume for the random environment a mixing property called conditional cone-mixing and that the random walk tends to stay inside wide enough space–time cones. The proof is based on a generalization of a regeneration scheme developed by Comets and Zeitouni (2004)  for static random environments and adapted by Avena et al. (2011)  to dynamic random environments. A number of one-dimensional examples are given. In some cases, the sign of the speed can be determined.
Volume (Year): 123 (2013)
Issue (Month): 1 ()
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