Classifies and proves ergodicity for all rules in 3-5 state 1D reversible CA, with analytical proofs for subsets and numerical non-ergodicity confirmation for the rest.
Sz´ asz ed., Hard Ball Systems and the Lorentz Gas, Springer-Verlag, Heidelberg (2000)
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Complete ergodicity in one-dimensional reversible cellular automata
Classifies and proves ergodicity for all rules in 3-5 state 1D reversible CA, with analytical proofs for subsets and numerical non-ergodicity confirmation for the rest.