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arXiv:1806.04220 [math.PR]AbstractReferencesReviewsResources

Proof of the path localization conjecture for directed polymers

Sourav Chatterjee

Published 2018-06-11Version 1

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.

Comments: 16 pages, 1 figure
Categories: math.PR, math-ph, math.MP
Subjects: 60K37, 82B44, 82D60, 60G17
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