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- W2955274231 abstract "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 probabilistic parameter. Asymptotic distribution of configurations converges to a unique steady state for PBCA. We assume some conjecture on the distribution and derive the asymptotic probability expressed by GKZ hypergeometric function. If we take a limit of space size to infinity, a relation between density and flux of particles for infinite space size can be evaluated. Moreover, we propose two extended systems of PBCA of which asymptotic behavior can be analyzed as PBCA." @default.
- W2955274231 created "2019-07-12" @default.
- W2955274231 creator A5088525291 @default.
- W2955274231 date "2019-06-29" @default.
- W2955274231 modified "2023-09-25" @default.
- W2955274231 title "Evaluation on asymptotic distribution of particle systems expressed by probabilistic cellular automata" @default.
- W2955274231 hasPublicationYear "2019" @default.
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