Methods and Applications of Analysis
Volume 9 (2002)
On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment
Pages: 345 – 376
In this work we prove the equivalence between static and dynamic points of views for certain ballistic random walks in random environment on Zd, when d greater than or equal to 4 and the disorder is low. Our techniques also enable us to derive in the same setting a functional central limit theorem for almost every realization of the environment. We also provide an example where the equivalence between static and dynamic points of views breaks down.