Geodesic
Gardens of Eden and amenability on cellular automata
Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 241-248.

Voir la notice de l'article provenant de la source EMS Press

We prove a converse to the “Garden-of-Eden” theorem by Ceccherini-Silberstein, Machì and Scarabotti, and to a theorem by Meyerovitch, yielding two new characterizations of amenable groups. The following are equivalent:
DOI : 10.4171/jems/196
Classification : 37-XX, 68-XX, 43-XX, 00-XX
Keywords: Cellular automata, Garden of Eden, entropy, Moore–Myhill theorem, amenability 
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Laurent Bartholdi. Gardens of Eden and amenability on cellular automata. Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 241-248. doi : 10.4171/jems/196. http://geodesic.mathdoc.fr/articles/10.4171/jems/196/

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