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On the phase space approach to complexity

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Abstract

We elaborate in some detail on a new phase space approach to complexity, due to Y.-C. Zhang. We show in particular that the connection between maximal complexity and power law noise or correlations can be derived from a simple variational principle. For a 1D signal we find 1/f noise, in accordance with Zhang.

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References

  1. Y.-C. Zhang,J. Phys. I (Paris)1:971 (1991).

    Google Scholar 

  2. K. G. Wilson,Sci. Am. 241:140 (1979).

    Google Scholar 

  3. M. Plischke and B. Bergersen,Equilibrium Statistical Physics (Prentice-Hall, 1989).

  4. J. Feder,Fractals (Plenum Press, New York, 1988).

    Google Scholar 

  5. P. Bak, C. Tang, and K. Wiesenfeld,Phys. Rev. Lett. 59:381 (1987);Phys. Rev. A 38:364 (1988).

    Google Scholar 

  6. B. A. Huberman and T. Hogg,Physica 22D:376 (1986).

    Google Scholar 

  7. T. Hogg and B. A. Huberman,Phys. Rev. A 32:2338 (1985).

    Google Scholar 

  8. C. P. Bachas and B. A. Huberman,Phys. Rev. Lett. 57:1965 (1986).

    Google Scholar 

  9. W. Ebeling and G. Nicolis,Europhys. Lett. 14:191 (1991).

    Google Scholar 

  10. G. Nicolis and C. Nicolis,Physica A 163:215 (1990).

    Google Scholar 

  11. P. Grassberger, Randomness, information, and complexity, Wuppertal, Preprint (1989); Cellular automata, Wuppertal Preprint (1990).

  12. S. Kullback,Information Theory and Statistics (Wiley, New York, 1959).

    Google Scholar 

  13. W. Ebeling and G. Nicolis,Europhys. Lett. 14:191 (1991).

    Google Scholar 

  14. G. Nicolis and C. Nicolis,Physica A 163:215 (1990).

    Google Scholar 

  15. W. Feller,An Introduction to Probability Theory and its Applications, 3rd ed. (Wiley, New York, 1968).

    Google Scholar 

  16. W. H. Press,Comments Astrophys. 7:103 (1978).

    Google Scholar 

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Fogedby, H.C. On the phase space approach to complexity. J Stat Phys 69, 411–425 (1992). https://doi.org/10.1007/BF01053799

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  • DOI: https://doi.org/10.1007/BF01053799

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