14 citations · 89 across the 24 of their papers we have counts for
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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…