Open Access
April 2014 Path properties of the disordered pinning model in the delocalized regime
Kenneth S. Alexander, Nikos Zygouras
Ann. Appl. Probab. 24(2): 599-615 (April 2014). DOI: 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.

Citation

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Kenneth S. Alexander. Nikos Zygouras. "Path properties of the disordered pinning model in the delocalized regime." Ann. Appl. Probab. 24 (2) 599 - 615, April 2014. https://doi.org/10.1214/13-AAP930

Information

Published: April 2014
First available in Project Euclid: 10 March 2014

zbMATH: 1291.82144
MathSciNet: MR3178492
Digital Object Identifier: 10.1214/13-AAP930

Subjects:
Primary: 82B44
Secondary: 60K35 , 82D60

Keywords: Depinning transition , path properties , pinning model

Rights: Copyright © 2014 Institute of Mathematical Statistics

Vol.24 • No. 2 • April 2014
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