14 citations · 89 across the 24 of their papers we have counts for
25 papers
Functional Limits and Separation Times for Two Interacting Elephant Random Walks
Rafik Aguech, Shuhei Shibata, Tomoyuki Shirai
We establish functional scaling limits and study first separation times for the interacting two elephant model studied by Aguech and Qin. In the joint diffusive regime, we give a d…
Enumeration of connected bipartite graphs with given Betti number
Taro Hasui, Tomoyuki Shirai, Satoshi Yabuoku
We obtain first order linear partial differential equations which are satisfied by exponential generating functions of two variables for the number of connected bipartite graphs wi…
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…
Disordered complex networks: energy optimal lattices and persistent homology
Subhro Ghosh, Naoto Miyoshi, Tomoyuki Shirai
Disordered complex networks are of fundamental interest as stochastic models for information transmission over wireless networks. Well-known networks based on the Poisson point pro…
Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes
Makoto Katori, Tomoyuki Shirai
On an annulus with a fixed , we study a Gaussian analytic function (GAF) and its zero set which defines a point…
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…
Partial Isometries, Duality, and Determinantal Point Processes
Makoto Katori, Tomoyuki Shirai
A determinantal point process (DPP) is an ensemble of random nonnegative-integer-valued Radon measures on a space with measure , whose correlation functions are all give…
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…
Limit theorems for persistence diagrams
Trinh Khanh Duy, Yasuaki Hiraoka, Tomoyuki Shirai
The persistent homology of a stationary point process on is studied in this paper. As a generalization of continuum percolation theory, we study higher dimensional topo…
Spatial modeling and analysis of cellular networks using the Ginibre point process: A tutorial
Naoto Miyoshi, Tomoyuki Shirai
Spatial stochastic models have been much used for performance analysis of wireless communication networks. This is due to the fact that the performance of wireless networks depends…
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…
A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks
Naoto Miyoshi, Tomoyuki Shirai
We consider the spatial stochastic model of single-tier downlink cellular networks, where the wireless base stations are deployed according to a general stationary point process on…
Tutte polynomials and random-cluster models in Bernoulli cell complexes
Yasuaki Hiraoka, Tomoyuki Shirai
This paper studies Bernoulli cell complexes from the perspective of persistent homology, Tutte polynomials, and random-cluster models. Following the previous work [9], we first sho…
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles
Trinh Khanh Duy, Tomoyuki Shirai
An explicit formula for the mean spectral measure of a random Jacobi matrix is derived. The matrix may be regarded as the limit of Gaussian beta ensemble (GE) matrices as the ma…
Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process
Yasuaki Hiraoka, Tomoyuki Shirai
This paper studies a higher dimensional generalization of Frieze's -limit theorem in the Erdös-Rényi graph process. Frieze's theorem states that the expected weight of the mi…
Downlink Coverage Probability in a Cellular Network with Ginibre Deployed Base Stations and Nakagami-m Fading Channels
Naoto Miyoshi, Tomoyuki Shirai
Recently, spatial stochastic models based on determinantal point processes (DPP) are studied as promising models for analysis of cellular wireless networks. Indeed, the DPPs can ex…
Absolute continuity and singularity of Palm measures of the Ginibre point process
Hirofumi Osada, Tomoyuki Shirai
We prove a dichotomy between absolute continuity and singularity of the Ginibre point process and its reduced Palm measures $\{\mathsf{G}_{\mathbf{x}}, \mathbf{x} \in…
Eigenvalue problem for some special class of anti-triangular matrices
Hiroyuki Ochiai, Makiko Sasada, Tomoyuki Shirai +1
We study the eigenvalue problem for some special class of anti-triangular matrices. Though the eigenvalue problem is quite classical, as far as we know, almost nothing is known abo…
On the zeros of the Macdonald functions
Yuji Hamana, Hiroyuki Matsumoto, Tomoyuki Shirai
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic…
Correlation functions for zeros of a Gaussian power series and Pfaffians
Sho Matsumoto, Tomoyuki Shirai
We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We further show that the product moments for absolute values…