Asymptotics for the partition function in two-cut random matrix models

Tom Claeys, Tamara Grava, Kenneth D. T-R McLaughlin

We obtain large N asymptotics for the Hermitian random matrix partition function \[Z_N(V)=\int_{\mathbb R^N}\prod_{i<j}(x_i-x_j)^2 \prod_{j=1}^N e^{-N V(x_j)}dx_j,\] in the case wh…