On high dimensional directed polymer in random media

Details On high dimensional directed polymer in random media On high dimensional directed polymer in random media

1995-05-16

arxiv.org/abs/cond-mat/9505069v2

Physics

Condensed Matter

Withdrawn; A revised version of the paper will be resubmitted shortly

Scientific paper

Directed polymers in random media are studied using results of the asymptotic
theory of extreme statistics. Despite the strong correlation, one can recover
the behavior of independent random variables for high dimensions, using a
result which requires only a control of pairwise correlation, and focussing on
ensembles of low energy directed polymers.

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