137 citations · 1.2k across the 79 of their papers we have counts for
79 papers
Eigenvalues, eigenvector-overlaps, and regularized Fuglede-Kadison determinant of the non-Hermitian matrix-valued Brownian motion
Syota Esaki, Makoto Katori, Satoshi Yabuoku
The non-Hermitian matrix-valued Brownian motion is the stochastic process of a random matrix whose entries are given by independent complex Brownian motions. The bi-orthogonality r…
On an identity of Chaundy and Bullard. III. Basic and elliptic extensions
Natsuko Hoshi, Makoto Katori, Tom H. Koornwinder +1
The identity by Chaundy and Bullard expresses as a sum of two truncated binomial series in one variable where the truncations depend on two different non-negative integers. We…
Point Processes and Multiple SLE/GFF Coupling
Makoto Katori
In the series of lectures, we will discuss probability laws of random points, curves, and surfaces. Starting from a brief review of the notion of martingales, one-dimensional Brown…
Hyperuniformity of the determinantal point processes associated with the Heisenberg group
Makoto Katori
The Ginibre point process is given by the eigenvalue distribution of a non-hermitian complex Gaussian matrix in the infinite matrix-size limit. This is a determinantal point proces…
Local universality of determinantal point processes on Riemannian manifolds
Makoto Katori, Tomoyuki Shirai
We consider the Laplace-Beltrami operator on a smooth, compact Riemannian manifold and the determinantal point process on associated with the spec…
Scaling limit for determinantal point processes on spheres
Makoto Katori, Tomoyuki Shirai
The unitary group with the Haar probability measure is called Circular Unitary Ensemble. All the eigenvalues lie on the unit circle in the complex plane and they can be regarded as…