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On the interplay between uniform distribution, discrepancy, and energy minimization

By Dmitriy Bilyk

Appears in collection : Jean-Morlet Chair 2020 - Workshop: Discrepancy Theory and Applications - Part 1 / Chaire Jean-Morlet 2020 - Workshop : Théorie de la discrépance et applications - Part 1

Discrepancy and discrete energy are two of the most standard ways to measure the quality of the distribution of a finite point set, and it is very well known that there is strong interplay between these concepts. One particular important example of such interplay is the classical Stolarsky principle which ties together the pairwise sum of distances and the spherical cap discrepancy. In the current talk we shall survey various manifestations of this connection between discrepancy and energy minimization.

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Citation data

  • DOI 10.24350/CIRM.V.19681303
  • Cite this video Bilyk, Dmitriy (30/11/2020). On the interplay between uniform distribution, discrepancy, and energy minimization. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19681303
  • URL https://dx.doi.org/10.24350/CIRM.V.19681303

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