The Library
Path properties of the disordered pinning model in the delocalized regime
Tools
Alexander, Kenneth S. and Zygouras, Nikos (2014) Path properties of the disordered pinning model in the delocalized regime. The Annals of Applied Probability, Volume 24 (Number 2). pp. 599-615. doi:10.1214/13-AAP930 ISSN 1050-5164.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1214/13-AAP930
Abstract
We study the path properties of a random polymer attracted to
a defect line by a potential with disorder, and we prove that in the
delocalized regime, at any temperature, the number of contacts with
the defect line remains in a certain sense “tight in probability” as the
polymer length varies. On the other hand we show that at sufficiently
low temperature, there exists a.s. a subsequence where the number
of contacts grows like the log of the length of the polymer.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||||
Journal or Publication Title: | The Annals of Applied Probability | ||||||||
Publisher: | Institute of Mathematical Statistics | ||||||||
ISSN: | 1050-5164 | ||||||||
Official Date: | 20 March 2014 | ||||||||
Dates: |
|
||||||||
Volume: | Volume 24 | ||||||||
Number: | Number 2 | ||||||||
Page Range: | pp. 599-615 | ||||||||
DOI: | 10.1214/13-AAP930 | ||||||||
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 |