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

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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 
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
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     title = {Gardens of {Eden} and amenability on cellular automata},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/196/}
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