Refereed Publications
- Shuichi Yukita, “Cellular automata in non-Euclidean
spaces,” WSEAS Transactions on Mathematics, Vol.4,
Issue 3, July 2005, pp. 273-280.
Abstract - Classical
results on the surjectivity and injectivity of parallel
maps are shown to be extendible to the cases with non-Euclidean
cell spaces of particular types. Also shown are obstructions
to extendibility, which may shed light on the nature of
classical results such as the Garden-of-Eden theorem.
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