5 papers
Zero correlations and averaged fields of orthonormal Gaussian functions
Luís Daniel Abreu, Tomoyuki Shirai
We consider the family of point processes of zeros of Gaussian random functions , arising from t…
Weighted Point Configurations with Hyperuniformity: An Ecological Example and Models
Ayana Ezoe, Makoto Katori, Tomoyuki Shirai
Random point configurations are said to be in hyperuniform states, if density fluctuations are anomalously suppressed in large-scale. Typical examples are found in Coulomb gas syst…
Generalized Eigenspaces and Pseudospectra of Nonnormal and Defective Matrix-Valued Dynamical Systems
Saori Morimoto, Makoto Katori, Tomoyuki Shirai
We consider nonnormal matrix-valued dynamical systems with discrete time. For an eigenvalue of matrix, the number of times it appears as a root of the characteristic polynomial is…
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…
Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with rank 1 perturbations
Saori Morimoto, Makoto Katori, Tomoyuki Shirai
We introduce two kinds of matrix-valued dynamical processes generated by nonnormal Toeplitz matrices with the additive rank 1 perturbations , where and …