Surjective uniform dill maps are exactly surjective cellular automata; a dill map whose every local block has length greater than one is equicontinuous.
Theory of Computing Systems 31(6), 663--677 (1998)
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On surjectivity and dynamical properties of dill maps
Surjective uniform dill maps are exactly surjective cellular automata; a dill map whose every local block has length greater than one is equicontinuous.