14 citations · 32 across the 10 of their papers we have counts for
15 papers
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…
Expected number of zeros of random power series with finitely dependent Gaussian coefficients
Kohei Noda, Tomoyuki Shirai
We are concerned with zeros of random power series with coefficients being a stationary, centered, complex Gaussian process. We show that the expected number of zeros in every smoo…
A limit theorem for persistence diagrams of random filtered complexes built over marked point processes
Tomoyuki Shirai, Kiyotaka Suzaki
We consider random filtered complexes built over marked point processes on Euclidean spaces. Examples of our filtered complexes include a filtration of ech comp…
Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes
Takato Matsui, Makoto Katori, Tomoyuki Shirai
The bulk scaling limit of eigenvalue distribution on the complex plane of the complex Ginibre random matrices provides a determinantal point process (DPP). This poin…
Zeta functions of periodic cubical lattices and cyclotomic-like polynomials
Yasuaki Hiraoka, Hiroyuki Ochiai, Tomoyuki Shirai
Zeta functions of periodic cubical lattices are explicitly derived by computing all the eigenvalues of the adjacency operators and their characteristic polynomials. We introduce cy…