Nondeterministic density classification with diffusive probabilistic cellular automata.

@article{Fuks2002NondeterministicDC,
  title={Nondeterministic density classification with diffusive probabilistic cellular automata.},
  author={Henryk Fuks},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 6 Pt 2},
  pages={066106}
}
  • Henryk Fuks
  • Published 2002 in
    Physical review. E, Statistical, nonlinear, and…
We present a probabilistic cellular automaton (CA) with two absorbing states which performs classification of binary strings in a nondeterministic sense. In a system evolving under this CA rule, empty sites become occupied with a probability proportional to the number of occupied sites in the neighborhood, while occupied sites become empty with a probability proportional to the number of empty sites in the neighborhood. The probability that all sites become eventually occupied is equal to the… CONTINUE READING