Speaker
Francesco Mezzadri, University of Bristol
Abstract
We discuss two matrix models of non-Hermitian \(\beta\)-ensembles and their spectral densities. The main feature of these models is that the exponent \(\beta\) of the Vandermonde determinant in the joint probability density function of the eigenvalues can be any positive real number. For one of these ensembles we can compute the empirical spectral distribution in the small temperature limit as a function of the logarithm of the radius. This is joint work with Gernot Akemann, Patricia Päßler and Henry Taylor.