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January 2007 Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction
Firas Rassoul-Agha, Timo Seppäläinen
Ann. Probab. 35(1): 1-31 (January 2007). DOI: 10.1214/009117906000000610

Abstract

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+ɛ moment for the step of the walk uniformly in the environment. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.

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Firas Rassoul-Agha. Timo Seppäläinen. "Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction." Ann. Probab. 35 (1) 1 - 31, January 2007. https://doi.org/10.1214/009117906000000610

Information

Published: January 2007
First available in Project Euclid: 19 March 2007

zbMATH: 1126.60090
MathSciNet: MR2303942
Digital Object Identifier: 10.1214/009117906000000610

Subjects:
Primary: 60F17, 60K37, 82D30

Rights: Copyright © 2007 Institute of Mathematical Statistics

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Vol.35 • No. 1 • January 2007
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