Strong disorder in semidirected random polymers

Details Strong disorder in semidirected random polymers Strong disorder in semidirected random polymers

2010-09-14

arxiv.org/abs/1009.2693v2

Mathematics

Probability

32 pages; some notation changed and some mistakes corrected; section 2 expanded

Scientific paper

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.

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