Universality for directed polymers in thin rectangles

Details Universality for directed polymers in thin rectangles Universality for directed polymers in thin rectangles

2012-04-19

arxiv.org/abs/1204.4445v1

Mathematics

Probability

11 pages

Scientific paper

We consider the fluctuations of the free energy of positive temperature
directed polymers in thin rectangles (N,N^{\alpha}), \alpha < 3/14. For general
weight distributions with finite fourth moment we prove that the distribution
of these fluctuations converges as N goes to infinity to the GUE Tracy-Widom
distribution.

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