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

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

2006-01-27

arxiv.org/abs/math/0601670v2

Mathematics

Probability

Accepted for publication in ALEA

Scientific paper

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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