Bolthausen, E; Sznitman, A-S (2002). On the static and dynamic points of view for certain random walks in random environment. Methods and Applications of Analysis, 9(3):345-375.
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.
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.
| Other titles: | Special issue dedicated to Daniel W. Stroock and Srinivasa S. R. Varadhan on the occasion of their 60th birthday |
|---|---|
| Item Type: | Journal Article, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2002 |
| Deposited On: | 27 Apr 2010 06:49 |
| Last Modified: | 26 Jun 2022 22:33 |
| Publisher: | International Press |
| ISSN: | 1073-2772 |
| Additional Information: | Copyright © International Press |
| OA Status: | Green |
| Official URL: | http://www.intlpress.com/MAA/MAA-v09.php#MAA-9-3 |
| Related URLs: | http://www.zentralblatt-math.org/zmath/en/search/?q=an:1079.60079 http://projecteuclid.org/euclid.maa/1119027729 |
Bolthausen, E