Asymptotic direction for random walks in mixing random environments
Probability
2019-08-27 v1
Abstract
We prove that every random walk in a uniformly elliptic random environment satisfying the cone mixing condition and a non-effective polynomial ballisticity condition with high enough degree has an asymptotic direction.
Cite
@article{arxiv.1610.04902,
title = {Asymptotic direction for random walks in mixing random environments},
author = {Enrique Guerra and Alejandro F. Ramírez},
journal= {arXiv preprint arXiv:1610.04902},
year = {2019}
}
Comments
58 pages and 3 figures