14 citations · 32 across the 10 of their papers we have counts for
9 papers · 1 filter
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…
Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models
Naoto Miyoshi, Tomoyuki Shirai
We consider a spatial stochastic model of wireless cellular networks, where the base stations (BSs) are deployed according to a simple and stationary point process on $\mathbb{R}^d…
Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces
Alexander I. Bufetov, Tomoyuki Shirai
In this note, we show that determinantal point processes on the real line corresponding to de Branges spaces of entire functions are rigid in the sense of Ghosh-Peres and, under ce…