Majorization and Minimal Energy on Spheres

DOI10.1137/20M1324831zbMath1468.05028arXiv2001.04067OpenAlexW3182297064MaRDI QIDQ5001846

Oleg R. Musin

Publication date: 23 July 2021

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04067

zbMATH Keywords

spherical designsmajorization inequalityoptimal spherical configurations

Mathematics Subject Classification ID

Extremal set theory (05D05) Other designs, configurations (05B30) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Potentials and capacities on other spaces (31C15)

Related Items (1)

Log-optimal (𝑑+2)-configurations in 𝑑–dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On spherical designs of some harmonic indices
• Universal lower bounds for potential energy of spherical codes
• Optimal arrangements in packing congruent balls in a spherical container
• Spherical two-distance sets
• Fisher type inequalities for Euclidean t-designs
• Spherical codes and designs
• Upper bounds for \(s\)-distance sets and equiangular lines
• Discrete logarithmic energy on the sphere.
• Five point energy minimization: a synopsis
• Graphs and spherical two-distance sets
• Spherical designs of harmonic index \(t\)
• Finite two-distance tight frames
• Equiangular lines
• Universally optimal distribution of points on spheres
• The minimum of potential energy of a System of point charges
• Uniqueness of Certain Spherical Codes
• The Five-Electron Case of Thomson’s Problem
• TheD₄Root System Is Not Universally Optimal
• The Closest Packing of Spherical Caps in n Dimensions
• Inequalities: theory of majorization and its applications

This page was built for publication: Majorization and Minimal Energy on Spheres