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arXiv · 1806.04220

Proof of the path localization conjecture for directed polymers

Sourav Chatterjee
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Abstract

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.

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Sourav Chatterjee. 2018-06-11. Proof of the path localization conjecture for directed polymers. https://doi.org/10.1007/s00220-019-03533-1

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