3 papers
math-ph2026
Two-Species Boltzmann--Kac Kinetics with Matsumoto--Yor Nonlinear Collisions: Conserved Energy and Conic Equilibria
Yoshiaki Itoh
We extend Mark Kac's kinetic framework from single-species Euclidean spaces to a two-species, non-linear interaction space on the open cone governed by the Matsumot…
math.PR2025
Paper-Scissors-Stone Model for Interacting Population and its Limit Theorem
Yasunori Okabe, Hajime Mano, Yoshiaki Itoh
This paper treats a random collision model of three species, which is represented by the random time change of three standard Poisson processes. The prey-predator relation in the r…
nlin.SI2024
Narayana numbers in "explicit sufficient invariants for an interacting particle system ( by Itoh, Mallows, and Shepp)"
Yoshiaki Itoh
We consider an interacting particle system on star graphs. As in the case of the Kdv equation, we have infinitely many invariants ( here, martingale invariants). It enables us to o…