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Strong localization and macroscopic atoms for directed polymers

Vincent Vargas
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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.

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Vincent Vargas. 2006-03-09. Strong localization and macroscopic atoms for directed polymers. https://arxiv.org/abs/math/0603233

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