Geodesic
Gardens of Eden and amenability on cellular automata
Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 241-248 Cet article a éte moissonné depuis la source EMS Press

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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 
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     author = {Laurent Bartholdi},
     title = {Gardens of {Eden} and amenability on cellular automata},
     journal = {Journal of the European Mathematical Society},
     pages = {241--248},
     year = {2010},
     volume = {12},
     number = {1},
     doi = {10.4171/jems/196},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/196/}
}
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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

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