Pinning by a sparse potential
Probability
2016-08-16 v3 Mathematical Physics
math.MP
Abstract
We consider a directed polymer interacting with a diluted pinning potential restricted to a line. We characterize explicitely the set of disorder configurations that give rise to localization of the polymer. We study both relevant cases of dimension 1+1 and 1+2. We also discuss the case of massless effective interface models in dimension 2+1.
Keywords
Cite
@article{arxiv.math/0501135,
title = {Pinning by a sparse potential},
author = {Élise Janvresse and Thierry De La Rue and Yvan Velenik},
journal= {arXiv preprint arXiv:math/0501135},
year = {2016}
}
Comments
to appear in Stochastic Processes and their Applications