Majorization and minimal energy on spheres

12 Mar 2020 Musin Oleg R.

We consider the majorization (Karamata) inequality and minimums of the majorization (M-sets) for f-energy potentials of m-point configurations in a sphere. In particular, we show the optimality of regular simplexes, describe M-sets with a small number of points, define and discuss spherical f-designs...

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Categories


  • METRIC GEOMETRY
  • INFORMATION THEORY
  • COMBINATORICS
  • INFORMATION THEORY