Takashi Imamura (Chiba)
Wed, Mar 8

In this talk, I will report our recent result on the O'Connell-Yor model (arXiv:1506.05548). Revealing some denterminantal structures of this model, we obtain a representation for the moment generating function of the polymer partition function in terms of a determinantal weight, which is valid for arbitrary positive temperature. In the zero-temperature limit, it goes to the eigenvalues density for the Gaussian Unitary Ensemble (GUE) in random matrix theory.

This is the joint work with Tomohiro Sasamoto.