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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Partially supported by CNRS (UMR 7599 “Probabilités et Modèles Aléatoires”).
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Vargas, V. Strong localization and macroscopic atoms for directed polymers. Probab. Theory Relat. Fields 138, 391–410 (2007). https://doi.org/10.1007/s00440-006-0030-5
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DOI: https://doi.org/10.1007/s00440-006-0030-5
Keywords
- Directed polymers in random environment
Mathematics Subject Classification (2000)
- 60K37
- 82B44