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On Subword Complexity of Morphic Sequences

  • Rostislav Deviatov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5010)

Abstract

We sketch the proof of the following result: the subword complexity of arbitrary morphic sequence is either Open image in new window , or O(n 3/2).

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References

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    Allouche, J.-P., Shallit, J.: Automatic Sequences. Cambridge University Press, Cambridge (2003)zbMATHGoogle Scholar
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    Ferenczi, S.: Complexity of sequences and dynamical systems. Discrete Math. 206(1-3), 145–154 (1999)zbMATHCrossRefMathSciNetGoogle Scholar
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    Nicolas, F.: Master’s thesisGoogle Scholar
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    Pansiot, J.-J.: Complexité des facteurs des mots infinis engendrés par morphimes itérés. In: Paredaens, J. (ed.) ICALP 1984. LNCS, vol. 172, pp. 380–389. Springer, Heidelberg (1984)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Rostislav Deviatov
    • 1
  1. 1.Moscow State University and Independent University of Moscow 

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