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Basic Properties and Examples of Minimal Discrete Energy

  • Sergiy V. BorodachovEmail author
  • Douglas P. Hardin
  • Edward B. Saff
Chapter
  • 284 Downloads
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter, we begin our study of point configurations minimizing an energy defined in terms of pairwise interactions. We introduce the notions of minimal discrete energy along with some of their basic properties. We further provide several classical examples where optimal configurations can be determined implicitly or explicitly.

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Sergiy V. Borodachov
    • 1
    Email author
  • Douglas P. Hardin
    • 2
  • Edward B. Saff
    • 2
  1. 1.Department of MathematicsTowson UniversityTowsonUSA
  2. 2.Center for Constructive Approximation, Department of MathematicsVanderbilt UniversityNashvilleUSA

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