A Uniquely Ergodic Cellular Automaton
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- J. Comput. Syst. Sci.
دوره 81 شماره
صفحات -
تاریخ انتشار 2015