Strong disorder implies strong localization for directed polymers in a random environment
Probability
2007-05-23 v2
Abstract
In this note we show that in any dimension , 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.
Keywords
Cite
@article{arxiv.math/0601670,
title = {Strong disorder implies strong localization for directed polymers in a random environment},
author = {Philippe Carmona and Yueyun Hu},
journal= {arXiv preprint arXiv:math/0601670},
year = {2007}
}
Comments
Accepted for publication in ALEA