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Algorithmes universels

Louis Nolin (1974)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Amenable groups and cellular automata

Tullio G. Ceccherini-Silberstein, Antonio Machi, Fabio Scarabotti (1999)

Annales de l'institut Fourier

We show that the theorems of Moore and Myhill hold for cellular automata whose universes are Cayley graphs of amenable finitely generated groups. This extends the analogous result of A. Machi and F. Mignosi “Garden of Eden configurations for cellular automata on Cayley graphs of groups” for groups of sub-exponential growth.

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