Relations between the unitary ensemble and the triangular ensemble: How to compute general correlators in the unitary ensemble.

Aleix Prats Ferrer

Abstract: Since Shatashvili's formula there have been no great advances in the computation of arbitrary correlators in the unitary ensemble. In this talk we will show an equation, inspired by an equivalence between 2-hermitian and complex matrix models. It relates correlators in the unitary ensemble to those in the triangular ensemble. The triangular correlator's computation will be shown in general. This completes the unitary correlator's computation in general too.

(Joint work with Bertrand Eynard.)