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Strong localization and macroscopic atoms for directed polymers

Year: 2006
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W4394664396
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