2018/06/30 by Sourav Chatterjee · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #math.PR #msc:60G17 #msc:60K37 #msc:82B44 #msc:82D60
paper · pdf · doi:10.1007/s00220-019-03533-1
16 pages, 1 figure. To appear in Comm. Math. Phys
arxiv created 2019/06/27 · arxiv updated 2019/09/04
It is a well-known open problem in the literature on random polymers to show that a directed polymer in random environment localizes around a favorite path at low temperature. A precise statement of this conjecture is formulated and proved in this article.