7 papers
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 $J…
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…
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…
Extinction and Metastability of Pheromone-Roads in Stochastic Models for Foraging Walks of Ants
Saori Morimoto, Makoto Katori, Hiraku Nishimori
Macroscopic changes of group behavior of eusocial insects are studied from the viewpoint of non-equilibrium phase transitions. Recent combined study of experiments and mathematical…
Interacting Particle Systems Modeling Self-Propelled Motions
Saori Morimoto, Makoto Katori, Hiraku Nishimori
In non-equilibrium statistical physics, active matters in both living and non-living systems have been extensively studied. In particular, self-propelled particle systems provide c…
Switching particle systems for foraging ants showing phase transitions in path selections
Ayana Ezoe, Saori Morimoto, Yuya Tanaka +2
Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the sw…