10 citations · 16 across the 6 of their papers we have counts for
6 papers
The density of zeros of random power series with stationary complex Gaussian coefficients
Tomoyuki Shirai
We study the zeros of random power series with stationary complex Gaussian coefficients, whose spectral measure is absolutely continuous. We analyze the precise asymptotic behavior…
Spectral representation of correlation functions for zeros of Gaussian power series with stationary coefficients
Tomoyuki Shirai
We analyze Gaussian analytic functions (GAFs) defined as power series with coefficients modeled by discrete stationary Gaussian processes, utilizing their spectral measures. We rev…
Accumulated spectrograms for hyperuniform determinantal point processes
Makoto Katori, Pierre Lazag, Tomoyuki Shirai
We define the accumulated spectrogram associated to a locally trace class orthogonal projection operator and to a bounded set using the polar decomposition of its restriction on th…
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…
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…