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Chaotic dynamics of generating Markov partitions, and linguistic sequences mimicking Zipf's law

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Parallelism, Learning, Evolution (WOPPLOT 1989)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 565))

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Abstract

A chaotic dynamics model of creating Markovian strings of symbols as well as sequences of words is presented, and its possible relevance to Zipf's law is discussed.Comparison from contemporary Greek prose as well as nucleotide sequences (strings) of mRNA Polymerase III and embryonic cDNA displaying a quasi-Zlpf's law behavior is made.The order of generated markovian strings as well as the information transferred between two symbols t steps apart (the “transinformation”) is also estimated.

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References

  1. J. S. NICOLIS “Dynamics of Hierarcical Systems” Vol. 25 SYNERGETICS Series. Springer-Verlag, Berlin (1986)

    Google Scholar 

  2. J. S. NICOLIS “Chaotic dynamics applied to information processing” Rep. Prog. Phys. 1986, 49, p. 1109–1196

    Google Scholar 

  3. J. S. NICOLIS and I. TSUDA “On the parallel between Zipf's law and 1/f processes in systems possesing multiple attractors” Progress in Theoritical Physics (to appear)

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  4. J. S. NICOLIS “Chaotic Dynamics in Biological information Processing: A Heuristic Outline” Nuovo Cimento Vol. 9D pp.1359–1388

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  5. G. NICOLIS, C. NICOLIS & J.S. NICOLIS “Chaotic Dynamics, Markov partitions and Zipfs law” J. of Stat. Phys. (Nℴ 3¦4, February 1989, p. 915)

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  6. G. NICOLIS, G. R, J. RAO & C. NICOLIS “Generation of spatially asymmetric, information-rich structures in far from equilibrium systems” preprint 1988

    Google Scholar 

  7. G.K. ZIPF “Human behavior and the principle of least effort” Addison-Wesley, Cambridge, Mass (1949)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, School of Sciences, University of Patras, 26110, Patras, Greece

    Anastassis A. Katsikas

  2. Department of Electrical Engineering, School of Engineering, University of Patras, 26110, Patras, Greece

    John S. Nicolis

Authors
  1. Anastassis A. Katsikas
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  2. John S. Nicolis
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Editor information

J. D. Becker I. Eisele F. W. Mündemann

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© 1991 Springer-Verlag Berlin Heidelberg

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Katsikas, A.A., Nicolis, J.S. (1991). Chaotic dynamics of generating Markov partitions, and linguistic sequences mimicking Zipf's law. In: Becker, J.D., Eisele, I., Mündemann, F.W. (eds) Parallelism, Learning, Evolution. WOPPLOT 1989. Lecture Notes in Computer Science, vol 565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55027-5_20

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  • DOI: https://doi.org/10.1007/3-540-55027-5_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55027-3

  • Online ISBN: 978-3-540-46663-5

  • eBook Packages: Springer Book Archive

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