The Annals of Probability
- Ann. Probab.
- Volume 31, Number 3 (2003), 1441-1463.
The point of view of the particle on the law of large numbers for random walks in a mixing random environment
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.
Ann. Probab., Volume 31, Number 3 (2003), 1441-1463.
First available in Project Euclid: 12 June 2003
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Rassoul-Agha, Firas. The point of view of the particle on the law of large numbers for random walks in a mixing random environment. Ann. Probab. 31 (2003), no. 3, 1441--1463. doi:10.1214/aop/1055425786. https://projecteuclid.org/euclid.aop/1055425786