Quenched invariance principle for random walks in balanced random environment
نویسندگان
چکیده
منابع مشابه
Quenched invariance principle for random walks in balanced random environment
We consider random walks in a balanced random environment in Z , d ≥ 2. We first prove an invariance principle (for d ≥ 2) and the transience of the random walks when d ≥ 3 (recurrence when d = 2) in an ergodic environment which is not uniformly elliptic but satisfies certain moment condition. Then, using percolation arguments, we show that under mere ellipticity, the above results hold for ran...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2010
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-010-0320-9