Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction
نویسندگان
چکیده
منابع مشابه
Quenched Invariance Principle for Multidimensional Ballistic Random Walk in a Random Environment with a Forbidden Direction
We consider a ballistic random walk in an i.i.d. random environment that does not allow retreating in a certain fixed direction. We prove an invariance principle (functional central limit theorem) under almost every fixed environment. The assumptions are nonnestling, at least two spatial dimensions, and a 2 + ε moment for the step of the walk uniformly in the environment. The main point behind ...
متن کاملQuenched Invariance Principle for Multidimensional Ballistic Random Walk in a Random Environment with a Forbidden Direction by Firas Rassoul-agha
We consider a ballistic random walk in an i.i.d. random environment that does not allow retreating in a certain fixed direction. We prove an invariance principle (functional central limit theorem) under almost every fixed environment. The assumptions are nonnestling, at least two spatial dimensions, and a 2 + ε moment for the step of the walk uniformly in the environment. The main point behind ...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2007
ISSN: 0091-1798
DOI: 10.1214/009117906000000610