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

2006/01/27 by Carmona, Philippe, Hu, Yueyun
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.math/0601670

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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