Majorization and minimal energy on spheres
Metric Geometry
2021-11-29 v4 Information Theory
Combinatorics
math.IT
Abstract
In the present paper, we consider the majorization theorem (also known as Karamata's inequality) and the respective minima of the majorization (the so-called M-sets) for f-energy potentials of -point configurations on the unit sphere. In particular, we show the optimality of regular simplexes, describe some M-sets of small cardinality, define and discuss spherical f-designs.
Keywords
Cite
@article{arxiv.2001.04067,
title = {Majorization and minimal energy on spheres},
author = {Oleg R. Musin},
journal= {arXiv preprint arXiv:2001.04067},
year = {2021}
}
Comments
18 pages