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| FIELD | Math:Analysis |
|---|---|
| DATE | February 17 (Wed), 2021 |
| TIME | 17:00-18:00 |
| PLACE | Online |
| SPEAKER | Byun, Sungsoo |
| HOST | Kang, Nam-Gyu |
| INSTITUTE | 서울대학교 |
| 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. |
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