Strong localization and macroscopic atoms for directed polymers
Probability
2007-05-23 v1
Abstract
In this article, we derive strong localization results for directed polymers in random environment. We show that at "low temperature" the polymer measure is asymptotically concentrated at a few points of macroscopic mass (we call these points epsilon-atoms). These results are derived assuming weak conditions on the tail decay of the random environment.
Keywords
Cite
@article{arxiv.math/0603233,
title = {Strong localization and macroscopic atoms for directed polymers},
author = {Vincent Vargas},
journal= {arXiv preprint arXiv:math/0603233},
year = {2007}
}
Comments
16 pages