Universality for directed polymers in thin rectangles
Probability
2012-04-30 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1204.4445,
title = {Universality for directed polymers in thin rectangles},
author = {Antonio Auffinger and Jinho Baik and Ivan Corwin},
journal= {arXiv preprint arXiv:1204.4445},
year = {2012}
}
Comments
12 pages