Strong localization and macroscopic atoms for directed polymers

2006/03/09 by Vincent Vargas, Vargas, Vincent · 1 citation
Mathematics · #60K37 #82B44 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60K37 #msc:82B44

paper · pdf · doi:10.48550/arxiv.math/0603233

16 pages

arxiv created 2006/03/09 · arxiv updated 2009/12/01

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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