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- W2963921985 abstract "We construct a one-dimensional uniquely ergodic cellular automaton which is not nilpotent. This automaton can perform asymptotically infinitely sparse computation, which nevertheless never disappears completely. The construction builds on the self-simulating automaton of Gács. We also prove related results of dynamical and computational nature, including the undecidability of unique ergodicity, and the undecidability of nilpotency in uniquely ergodic cellular automata." @default.
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- W2963921985 date "2015-03-01" @default.
- W2963921985 modified "2023-10-18" @default.
- W2963921985 title "A uniquely ergodic cellular automaton" @default.
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- W2963921985 doi "https://doi.org/10.1016/j.jcss.2014.10.001" @default.
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