Zero correlations and averaged fields of orthonormal Gaussian functions
Luis Daniel Abreu, Tomoyuki Shirai
arXiv:2605.17296, submitted May 17, 2026.
Anomaly prediction in XRP price with topological features
Illia Donhauzer, Pierluigi Cesana, Tomoyuki Shirai, Yuichi Ikeda
arXiv:2603.18021, submitted March 5, 2026; revised March 20, 2026.
Spectral representation of correlation functions for zeros of Gaussian power series with stationary coefficients
Tomoyuki Shirai
arXiv:2501.03704, submitted January 7, 2025. To appear in KIAS Springer Series in Mathematics.
The density of zeros of random power series with stationary complex Gaussian coefficients
Tomoyuki Shirai
arXiv:2501.02586, submitted January 5, 2025; revised January 29, 2025.
Generalized Eigenspaces and Pseudospectra of Nonnormal and Defective Matrix-Valued Dynamical Systems
Saori Morimoto, Makoto Katori, Tomoyuki Shirai
arXiv:2411.06472, submitted November 10, 2024; revised November 11, 2025. Accepted version for KIAS Springer Series in Mathematics.
Eigenvalue problem for some special class of anti-triangular matrices
Hiroyuki Ochiai, Makiko Sasada, Tomoyuki Shirai, Takashi Tsuboi
arXiv:1403.6797, submitted March 14, 2014.