Invariant Measures and Convergence Properties for Cellular Automaton 184 and Related Processes

@article{Belitsky2005InvariantMA,
  title={Invariant Measures and Convergence Properties for Cellular Automaton 184 and Related Processes},
  author={Vladimir Belitsky and Pablo A. Ferrari},
  journal={Journal of Statistical Physics},
  year={2005},
  volume={118},
  pages={589-623}
}
Our results concern long time limit properties of a deterministic dynamics that is common for a wide class of processes that have been studied so far during at least last two decades. The most widely known process from this class is a cellular automaton that acquired number 184 in the classification of S. Wolfram. This CA 184 is being intensively used to model vehicular traffic. However, our results are mainly derived with help of another process that offers a helpful insight into the studied… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 24 CITATIONS

Cellular Automata as Traffic Models and Spectrum of Two-Dimensional Contour Networks — Open Chainmails

  • 2018 IEEE International Conference "Quality Management, Transport and Information Security, Information Technologies" (IT&QM&IS)
  • 2018
VIEW 5 EXCERPTS
CITES BACKGROUND & RESULTS
HIGHLY INFLUENCED

The ergodic theory of cellular automata

  • Int. J. General Systems
  • 2009
VIEW 7 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Behavior of Continuous Two-contours System

VIEW 4 EXCERPTS
CITES RESULTS & METHODS
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 22 REFERENCES