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On the static and dynamic points of view for certain random walks in random environment


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.

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.

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.

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Additional indexing

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:06 Dec 2017 20:50
Publisher:International Press
ISSN:1073-2772
Additional Information:Copyright © International Press
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

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