The Library
Slow movement of a random walk on the range of a random walk in the presence of an external field
Tools
Tools
Tools
Croydon, David A. (2013) Slow movement of a random walk on the range of a random walk in the presence of an external field. Probability Theory and Related Fields, Volume 157 (Number 3-4). pp. 515-534. doi:10.1007/s00440-012-0463-y
|
Text
WRAP_Croydon_art_10.1007_00440-012-0463-y.pdf - Published Version Available under License Creative Commons Attribution. Download (425Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00440-012-0463-y
Abstract
In this article, a localisation result is proved for the biased random walk on the range of a simple random walk in high dimensions (d5). This demonstrates that, unlike in the supercritical percolation setting, a slowdown effect occurs as soon as a non-trivial bias is introduced. The proof applies a decomposition of the underlying simple random walk path at its cut-times to relate the associated biased random walk to a one-dimensional random walk in a random environment in Sinai’s regime. Via this approach, a corresponding aging result is also proved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Statistics | ||||
| Library of Congress Subject Headings (LCSH): | Random walks (Mathematics), Localization theory | ||||
| Journal or Publication Title: | Probability Theory and Related Fields | ||||
| Publisher: | Springer | ||||
| ISSN: | 0178-8051 | ||||
| Official Date: | December 2013 | ||||
| Dates: |
|
||||
| Volume: | Volume 157 | ||||
| Number: | Number 3-4 | ||||
| Page Range: | pp. 515-534 | ||||
| DOI: | 10.1007/s00440-012-0463-y | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
