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MathematicsPhysics

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

P. Carmona, Yueyun Hu

2006.1.27ALEA-Latin American Journal of Probability and Mathematical Statistics

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.

Citation format

CARMONA, P.; HU, Yueyun. Strong disorder implies strong localization for directed polymers in a random environment [preprint]. arXiv, 2006. arXiv:math/0601670.