%0 Journal Article
%T Strong disorder in semidirected random polymers
%A Nikos Zygouras
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1009.2693v2