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On the arrangement of point sets in the unit interval

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Abstract

In this paper we study two problems concerning the arrangement of a given finite point set in the unit cube. We give a satisfying solution for both of these problems in dimension one and show their intimate relation.

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Authors and Affiliations

  1. Institut für Finanzmathematik, Universität Linz, Altenbergerstr. 69, 4040, Linz, Austria

    Peter Kritzer & Gerhard Larcher

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  1. Peter Kritzer
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  2. Gerhard Larcher
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Correspondence to Peter Kritzer.

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Kritzer, P., Larcher, G. On the arrangement of point sets in the unit interval. manuscripta math. 140, 377–391 (2013). https://doi.org/10.1007/s00229-012-0547-0

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  • DOI: https://doi.org/10.1007/s00229-012-0547-0

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