1204.4445 (Antonio Auffinger et al.)

Universality for directed polymers in thin rectangles    [PDF]

Antonio Auffinger, Jinho Baik, Ivan Corwin

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.

View original: http://arxiv.org/abs/1204.4445