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July 2003 The point of view of the particle on the law of large numbers for random walks in a mixing random environment
Firas Rassoul-Agha
Ann. Probab. 31(3): 1441-1463 (July 2003). DOI: 10.1214/aop/1055425786

Abstract

The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higher-dimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is that it is not restricted to i.i.d. environments.

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Firas Rassoul-Agha. "The point of view of the particle on the law of large numbers for random walks in a mixing random environment." Ann. Probab. 31 (3) 1441 - 1463, July 2003. https://doi.org/10.1214/aop/1055425786

Information

Published: July 2003
First available in Project Euclid: 12 June 2003

zbMATH: 1039.60089
MathSciNet: MR1989439
Digital Object Identifier: 10.1214/aop/1055425786

Subjects:
Primary: 60K40
Secondary: 82D30

Rights: Copyright © 2003 Institute of Mathematical Statistics

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Vol.31 • No. 3 • July 2003
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