Strong disorder implies strong localization for directed polymers in a random environment

Philippe Carmona; Yueyun Hu

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Strong disorder implies strong localization for directed polymers in a random environment

Philippe Carmona·Yueyun Hu

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Abstract

In this note we show that in any dimension $d$, the strong disorder property implies the strong localization property. This is established for a continuous time model of directed polymers in a random environment : the parabolic Anderson Model.

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Philippe Carmona, Yueyun Hu. 2006-06-21. Strong disorder implies strong localization for directed polymers in a random environment. https://arxiv.org/abs/math/0601670

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