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On the Dynamics of Multi-information in Cellular Automata

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Cellular Automata (ACRI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8751))

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After reviewing a few key quantities of information theory, we investigate in this paper the behaviour of multi-information in elementary cellular automata. It will turn out that the usual classification by Wolfram is not well supported in terms of this information measure, or, more likely, that multi-information is blind to the kind of complexity displayed by those automata.

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  1. Ay, N., Olbrich, E., Bertschinger, N., Jost, J.: A Geometric Approach to Complexity. Chaos 21 (2011)

    Google Scholar 

  2. Chliamovitch, G., Chopard, B., Velasquez, L.: (to appear)

    Google Scholar 

  3. Cover, T., Thomas, J.: Elements of Information Theory. Wiley-Interscience, New York (2006)

    MATH  Google Scholar 

  4. Khinchin, A.I.: Mathematical Foundations of Information Theory. Dover, New York (1957)

    MATH  Google Scholar 

  5. Martinez, G.: A Note on Elementary Cellular Automata Classification. arXiv, 1306-5577 (2013)

    Google Scholar 

  6. Penrose, O.: Foundations of Statistical Mechanics. Pergamon, Oxford (1969)

    Google Scholar 

  7. Quax, R., Apolloni, A., Sloot, P.M.A.: The Diminishing Role of Hubs in Dynamical Processes on Complex Networks. Journal of the Royal Society Interface 10(88) (2013)

    Google Scholar 

  8. Schreiber, T.: Measuring Information Transfer. Physical Review Letters 85(2), 461–464 (2000)

    Article  Google Scholar 

  9. Shannon, C.: The Mathematical Theory of Communication. Bell System Technical Journal 27, 379–439, 623–656 (1948)

    Google Scholar 

  10. Watanabe, S.: Information Theoretical Analysis of Multivariate Correlation. IBM Journal 14(3), 66–82 (1960)

    Article  Google Scholar 

  11. Wolfram, S.: Statistical Mechanics of Cellular Automata. Reviews of Modern Physics 55(3), 601–644 (1983)

    Article  MATH  MathSciNet  Google Scholar 

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Chliamovitch, G., Chopard, B., Dupuis, A. (2014). On the Dynamics of Multi-information in Cellular Automata. In: Wąs, J., Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2014. Lecture Notes in Computer Science, vol 8751. Springer, Cham.

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11519-1

  • Online ISBN: 978-3-319-11520-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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