Strong localization and macroscopic atoms for directed polymers

Vincent Vargas

Published 2006-03-09Version 1

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.