3 papers
math-ph2026
Stationary Measures and Mean Flux Depending on Multiple Conserved Quantities in a Stochastic Cellular Automaton
Kazushige Endo, Shinsuke Iwao, Hidetomo Nagai +1
We analyze a stochastic 5-neighbor cellular automaton with several conserved quantities, including the particle density. By examining the eigenvalue problem of the associated trans…
math-ph2022
Asymptotic behavior of a stochastic particle system of 5 neighbors
Kazushige Endo
We analyze a stochastic particle system of 5 neighbors. Considering eigenvalue problem of transition matrix, we propose a conjecture that asymptotic distribution of the system is d…
math-ph2019
Evaluation on asymptotic distribution of particle systems expressed by probabilistic cellular automata
Kazushige Endo
We propose some conjectures for asymptotic distribution of probabilistic Burgers cellular automaton (PBCA) which is defined by a simple motion rule of particles including a probabi…