![]() ![]() B. Weiss, Sofic groups and dynamical systems, Sankhyā Ser.Monographs, American Mathematical Society, Providence, RI, 1988. Paterson, Amenability, vol. 29 of Mathematical Surveys and J. Myhill, The converse of Moore’s Garden-of-Eden theorem,.Math., American Mathematical Society, Providence, 1963, ![]() We also prove that if G is countable and X V G is a strongly irreducible linear subshift, then every injective linear cellular automaton : X X is surjective. Moore, Machine models of self-reproduction, vol. 14 of Proc. if X V G is a strongly irreducible linear subshift of nite type and : X X is a linear cellular automaton, then is surjective if and only if it is pre-injective.
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