Partially permutive cellular automata

@article{Eloranta1993PartiallyPC,
  title={Partially permutive cellular automata},
  author={Kari Eloranta},
  journal={Nonlinearity},
  year={1993},
  volume={6},
  pages={1009-1023}
}
  • K. Eloranta
  • Published 1 November 1993
  • Computer Science, Mathematics
  • Nonlinearity
One-dimensional cellular automata are analysed via their generalized permutivity. Invariant subalphabets provide a systematic way of identifying periodic and aperiodic tilings as well as stationary distributions invariant under the cellular automaton iteration. In the case of several invariant subalphabets a hierarchy of interaction phenomena arise. In particular the interaction of subalphabets can generate random walks as well as their degenerate forms. A comprehensive scheme emerges that… 
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