Methods and Applications of Analysis

On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment

Erwin Bolthausen and Alain-Sol Sznitman

Abstract

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.

Article information

Source
Methods Appl. Anal., Volume 9, Number 3 (2002), 345-376.

Dates
First available in Project Euclid: 17 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.maa/1119027729

Mathematical Reviews number (MathSciNet)
MR2023130

Zentralblatt MATH identifier
1079.60079

Citation

Bolthausen, Erwin; Sznitman, Alain-Sol. On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment. Methods Appl. Anal. 9 (2002), no. 3, 345--376. https://projecteuclid.org/euclid.maa/1119027729


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