Majorization and minimal energy on spheres

Authors

Oleg R. Musin, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2021

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 m-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.

Comments

Original published version available at https://doi.org/10.1137/20M1324831

Recommended Citation

Musin, Oleg R. "Majorization and minimal energy on spheres." SIAM Journal on Discrete Mathematics 35, no. 3 (2021): 1578-1591. https://doi.org/10.1137/20M1324831

Publication Title

SIAM Journal on Discrete Mathematics

DOI

10.1137/20M1324831