Kohei Noda

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math-ph2025

Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularities

Kohei Noda

In this paper, we study the random polynomial $p_{n} (ρ) := \prod_{j = 1}^{n} (∣ z_{j} ∣ - ρ)$ , where the points ${z_{j}}_{j = 1}^{n}$ are the eigenvalue moduli of random normal matrices with a radia…

math-ph2023

Determinantal structure of the overlaps for induced spherical unitary ensemble

Kohei Noda

In this note, we study the determinantal structure of the $k$ -th conditional expectation of the overlap for induced spherical unitary ensemble. We will show the universality for th…

math-ph2023★ 2 cited

Determinantal structure of the conditional expectation of the overlaps for the induced Ginibre unitary ensemble

Kohei Noda

As is widely known, a non-Hermitian matrix exhibits distinct left and right eigenvectors, which form a bi-orthogonal system. Chalker and Mehling initiated the study of the joint st…