On the zero-one law and the law of large numbers for random walk in mixing random environment.

Rassoul-Agha, Firas

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The quenched invariance principle for random walks in random environments admitting a bounded cycle representation

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We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman ( (2004) 219–244) to the non-reversible setting.