Proposes conjectures on steady-state distributions for probabilistic Burgers cellular automata, derives probabilities via GKZ hypergeometric functions, and obtains density-flux relations in the infinite-size limit.
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Evaluation on asymptotic distribution of particle systems expressed by probabilistic cellular automata
Proposes conjectures on steady-state distributions for probabilistic Burgers cellular automata, derives probabilities via GKZ hypergeometric functions, and obtains density-flux relations in the infinite-size limit.