Some open problems concerning the star-discrepancy

  • Authors:
  • Stefan Heinrich

  • Affiliations:
  • FB Informatik, Universität Kaiserslautern, Postfach 3049, D-67653 Kaiserslautern, Germany

  • Venue:
  • Journal of Complexity
  • Year:
  • 2003

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Abstract

We discuss open problems on the minimal star-discrepancy of an n-point set in the d-dimensional unit cube [0, 1]d. We emphasize the aspect of dimension dependence and of simultaneous dependence on n and d.