|DATE||February 17 (Wed), 2021|
|TITLE||A non-Hermitian generalisation of the Marchenko?Pastur distribution: from the circular law to multi-criticality|
|ABSTRACT||In this talk, I will discuss complex eigenvalues of the product of two rectangular complex Ginibre matrices that are correlated through a non-Hermiticity parameter. I will present the limiting spectral distribution of the model, which provides a non-Hermitian extension of the Marchenko-Pastur distribution. Moreover I will explain the microscopic behaviours of the model in the Dirac picture, which include the limiting correlation kernel at multi-criticality, where the interior of the spectrum splits into two connected components.
This is based on joint work with Gernot Akemann and Nam-Gyu Kang.