Strong disorder in semidirected random polymers
Probability
2010-11-17 v2
Abstract
We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.
Keywords
Cite
@article{arxiv.1009.2693,
title = {Strong disorder in semidirected random polymers},
author = {Nikos Zygouras},
journal= {arXiv preprint arXiv:1009.2693},
year = {2010}
}
Comments
32 pages; some notation changed and some mistakes corrected; section 2 expanded