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Bolthausen, E; Sznitman, A-S; Zeitouni, O (2003). Cut points and diffusive random walks in random environment. Annales de l'Institut Henri Poincaré (B) Probabilities et Statistiques, 39(3):527-555.
We study in this work a special class of multidimensional random walks in random environment for which we are able to prove in a non-perturbative fashion both a law of large numbers and a functional central limit theorem. As an application we provide new examples of diffusive random walks in random environment. In particular we construct examples of diffusive walks which evolve in an environment for which the static expectation of the drift does not vanish.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Uncontrolled Keywords: | multidimensional random walks, law of large numbers, functional central limit theorem, diffusive walks |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 21 Apr 2010 13:27 |
| Last Modified: | 03 Sep 2024 01:37 |
| Publisher: | Elsevier |
| ISSN: | 0246-0203 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1016/S0246-0203(02)00019-5 |
| Related URLs: | http://www.numdam.org/item?id=AIHPB_2003__39_3_527_0 (Organisation) |
Bolthausen, E