Upper bound on the products of particle interactions in cellular automata

@article{Hordijk2001UpperBO,
  title={Upper bound on the products of particle interactions in cellular automata},
  author={Wim Hordijk and C. Shalizi and J. Crutchfield},
  journal={Physica D: Nonlinear Phenomena},
  year={2001},
  volume={154},
  pages={240-258}
}
  • Wim Hordijk, C. Shalizi, J. Crutchfield
  • Published 2001
  • Physics, Mathematics
  • Physica D: Nonlinear Phenomena
  • Particle-like objects are observed to propagate and interact in many spatially extended dynamical systems. For one of the simplest classes of such systems, one-dimensional cellular automata, we establish a rigorous upper bound on the number of distinct products that these interactions can generate. The upper bound is controlled by the structural complexity of the interacting particles -- a quantity which is defined here and which measures the amount of spatio-temporal information that a… CONTINUE READING

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