UZH-Logo

Maintenance Infos

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.

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.

Downloads

32 downloads since deposited on 27 Apr 2010
11 downloads since 12 months
Detailed statistics

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:05 Apr 2016 13:25
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
Permanent URL: https://doi.org/10.5167/uzh-21927

Download

[img]
Preview
Filetype: PDF
Size: 1MB

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations