The Library
Sample path large deviations for Laplacian models in (1 + 1)-dimensions
Tools
Adams, Stefan, Kister, Alexander Karl and Weber, Hendrik (2016) Sample path large deviations for Laplacian models in (1 + 1)-dimensions. Electronic Journal of Probability, 21 . 62. doi:10.1214/16-EJP8 ISSN 1083-6489.
PDF
WRAP_euclid.ejp.1476706887.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (847Kb) |
|
PDF
AKW27thSep-2016.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (562Kb) |
Official URL: http://dx.doi.org/10.1214/16-EJP8
Abstract
For Laplacian models in dimension (1+1) we derive sample path large deviations for the profile height function, that is, we study scaling limits of Gaussian integrated random walks and Gaussian integrated random walk bridges perturbed by an attractive force towards the zero-level, called pinning. We study in particular the regime when the rate functions of the corresponding large deviation principles admit more than one minimiser, in our models either two, three, or five minimiser depending on the pinning strength and the boundary conditions. This study complements corresponding large deviation results for gradient systems with pinning for Gaussian random walk bridges in (1+1)-dimension (\cite{FS04}) and in (1+d)-dimension (\cite{BFO}), and recently in higher dimensions in \cite{BCF}. In particular it turns out that the Laplacian cases, i.e., integrated random walks, show richer and more complex structures of the minimiser of the rate functions which are linked to different phases.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Electronic Journal of Probability | ||||||||
Publisher: | University of Washington. Dept. of Mathematics | ||||||||
ISSN: | 1083-6489 | ||||||||
Official Date: | 17 October 2016 | ||||||||
Dates: |
|
||||||||
Volume: | 21 | ||||||||
Article Number: | 62 | ||||||||
DOI: | 10.1214/16-EJP8 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 19 October 2016 | ||||||||
Date of first compliant Open Access: | 19 December 2016 | ||||||||
Adapted As: | |||||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year