My recent research interest is (integrable) non-Hermitian random matrices.
In particular, I am working on non-Hermitian Wishart ensembles and hole probability for the two-dimensional Coulomb gases now.
Published paper:
Gernot Akemann, Sung-Soo Byun, and K. Noda: Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble, Ann. Henri Poincaré.
Sung-Soo Byun and K. Noda: Scaling limits of complex and symplectic non-Hermitian Wishart ensembles, J. Approx. Theory
K. Noda: Determinantal structure of the overlaps of induced spherical unitary ensemble, Random Matrices: Theory and Applications.
K. Noda and Tomoyuki Shirai, Expected Number of Zeros of Random Power Series with Finitely Dependent Gaussian Coefficients. J Theor Probab (2022).
Preprint:
K. Noda: Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularities, preprint
Sung-Soo Byun and K.Noda: Real Eigenvalues of Asymmetric Wishart Matrices: Expected Number, Global Density and Integrable Structure, preprint (submitted).
K. Noda: Determinantal structure of the overlaps of the induced Ginibre unitary ensemble, preprint.
Scientific Visits:
2025/8/24-2025/09/06: Fifth ZiF Summer School Randomness in Physics and Mathematics: From Thermalisation in Quantum Systems to Randon Matrices
2025/1/6-2025/1/18: The 2nd Workshop on Integrable Systems and Random Matrix Theory, Great Bay University, Dongguan, China, Host: Meng Yang.
2024/5/6-2024/5/10: Random Matrices and Related Topics in Jeju, Host: Sung-Soo Byun
2023/01/10-2023/03/17: Bielefeld University, Host: Gernot Akemann.
2022/12/12-2022/12/17: Korea Institute for Advanced Study (KIAS), Host: Sung-Soo Byun
I greatly appreciate for their warm hospitality.
Referee Services: