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Discrepancy of Sequences in Discrete Spaces

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Irregularities of Partitions

Part of the book series: Algorithms and Combinatorics 8 ((AC,volume 8))

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Abstract

In this article some combinatorial properties of 0.1-strings are established. A special sequence with small discrepancy ( with respect to increasing block length ) is constructed by means of De Bruijn graph. Applying a general result of W. Philipp a central limit theorem is derived for the local discrepancy.

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References

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Author information

Authors and Affiliations

  1. INRIA, Rocquencourt, France

    Ph. Flajolet

  2. Technical University of Vienna, A-1040, Vienna, Austria

    P. Kirschenhofer & R. F. Tichy

Authors
  1. Ph. Flajolet
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  2. P. Kirschenhofer
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  3. R. F. Tichy
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Editor information

Editors and Affiliations

  1. Department of Analysis, Eötvös Loránd University, Múzeum krt. 6–8, H-1088, Budapest VIII, Hungary

    Gábor Halász

  2. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13–15, H-1053, Budapest V, Hungary

    Vera T. Sós

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© 1989 Springer-Verlag Berlin Heidelberg

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Flajolet, P., Kirschenhofer, P., Tichy, R.F. (1989). Discrepancy of Sequences in Discrete Spaces. In: Halász, G., Sós, V.T. (eds) Irregularities of Partitions. Algorithms and Combinatorics 8, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61324-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-61324-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50582-2

  • Online ISBN: 978-3-642-61324-1

  • eBook Packages: Springer Book Archive

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