Asymptotic direction for random walks in mixing random environments

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.

arXiv comment58 pages and 3 figures

References in corpus (4)

• The Point of View of the Particle on the Law of Large Numbers for Random Walks in a Mixing Random Environment
• On slowdown and speedup of transient random walks in random environment
• Shortest spanning trees and a counterexample for random walks in random environments
• Asymptotic direction for random walks in random environments

Cited by in corpus (1)

• On the Transient (T) condition for Random Walk in Strong Mixing Environment