• Corpus ID: 118855782

Local maxima of energy of point configurations on sphere

@article{Radchenko2011LocalMO,
  title={Local maxima of energy of point configurations on sphere},
  author={Danylo V. Radchenko},
  journal={arXiv: Metric Geometry},
  year={2011}
}
  • D. Radchenko
  • Published 13 March 2011
  • Mathematics
  • arXiv: Metric Geometry
We prove that certain energy functionals of point configurations on sphere have no local maxima. 

References

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Universally optimal distribution of points on spheres

We study configurations of points on the unit sphere that minimize potential energy for a broad class of potential functions (viewed as functions of the squared Euclidean distance between points).

Distributing many points on a sphere