Anomalous recurrence properties of many-dimensional zero-drift random walks
نویسندگان
چکیده
منابع مشابه
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We prove the quenched Invariance Principle for random walks in random environments on Zd with zero local drift, subject to a transitivity hypothesis which is much weaker than the customary uniform ellipticity. We then obtain recurrence for d ≤ 2. The proofs are based on a representation of the system as an “uncountable union” of one-dimensional Markov maps, and on a powerful theorem by Schmidt ...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2016
ISSN: 0001-8678,1475-6064
DOI: 10.1017/apr.2016.44