On the computation of density and two-point correlation functions of a class of random matrix ensembles

Abstract

We demonstrate a method to solve a general class of random matrix ensembles numerically. The method is suitable for solving log-gas models with biorthogonal type two-body interactions and arbitrary potentials. We reproduce standard results for a variety of well-known ensembles and show some new results for the Muttalib-Borodin ensembles and recently introduced $\gamma$-ensemble for which analytic results are not yet available.

13 pages

References in corpus (2)

• Energy correlations for a random matrix model of disordered bosons
• Deformed Cauchy random matrix ensembles and large $N$ phase transitions