Mathematical systems theory

, Volume 27, Issue 4, pp 365–376 | Cite as

Statistical properties of finite sequences with high Kolmogorov complexity

  • Ming Li
  • Paul M. B. Vitányi


We investigate to what extent finite binary sequences with high Kolmogorov complexity are normal (all blocks of equal length occur equally frequently), and the maximal length of all-zero or all-one runs which occur with certainty.


Computational Mathematic Maximal Length Equal Length Binary Sequence Finite Sequence 
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Copyright information

© Springer-Verlag New York Inc. 1994

Authors and Affiliations

  • Ming Li
    • 1
  • Paul M. B. Vitányi
    • 2
  1. 1.Computer Science DepartmentUniversity of WaterlooWaterlooCanada
  2. 2.Centrum voor Wiskunde en InformaticaSJ AmsterdamThe Netherlands

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