Upper bound on the products of particle interactions in cellular automata

  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},
  • 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

    Figures and Tables from this paper.

    Defect particle kinematics in one-dimensional cellular automata
    • 21
    • PDF
    A Particular Universal Cellular Automaton
    • 20
    • PDF
    Detecting Non-trivial Computation in Complex Dynamics
    • 42
    • Highly Influenced
    • PDF


    Publications referenced by this paper.
    Statistical mechanics of cellular automata
    • 2,492
    • PDF
    Universality and complexity in cellular automata
    • 1,877
    • Highly Influential
    • PDF
    Computation theory of cellular automata
    • 289
    • PDF
    Pattern formation outside of equilibrium
    • 4,969
    • PDF
    Introduction to Automata Theory, Languages and Computation
    • 13,187
    • PDF
    Universal Computation in Simple One-Dimensional Cellular Automata
    • 195
    Soliton-like behavior in automata
    • 132