Strong localization and macroscopic atoms for directed polymers

Details Strong localization and macroscopic atoms for directed polymers Strong localization and macroscopic atoms for directed polymers

2006-03-09

arxiv.org/abs/math/0603233v1

Mathematics

Probability

16 pages

Scientific paper

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.

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