The Point of View of the Particle on the Law of Large Numbers for Random Walks in a Mixing Random Environment
Abstract
Description
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.
22 pages. To appear in the Annals of Probability
22 pages. To appear in the Annals of Probability