Wednesday, May 21, 2025 - 09:00 in Zoom
Three topological phases of the elliptic Ginibre ensembles with a point charge
A talk in the Seminar Zufallsmatrizen series by
Eui Yoo
| Abstract: |
In the large N limit, random matrix models exhibit limiting spectra in the complex plane whose support is called the droplets. In this talk, we will discuss the elliptic Ginibre matrix model conditioned to have real eigenvalue with multiplicity proportional to the dimension of the matrix. We prove that the droplets are either simply connected, doubly connected, or composed of two simply connected components. Moreover, we present the explicit description of the droplet and electrostatic energies for the simply and doubly connected case. Finally, we introduce the asymptotic behavior of the moments of the characteristic polynomials of elliptic Ginibre matrices as an application. This is based on a joint work with Sung-Soo Byun. (arXiv:2502.02948)
Within the CRC this talk is associated to the project(s): C6 |
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