Geodesic distance Riesz energy on the sphere
From MaRDI portal
Publication:5227980
DOI10.1090/tran/7711zbMath1470.11208arXiv1612.08442OpenAlexW2586771770MaRDI QIDQ5227980
Publication date: 7 August 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08442
Energy minimization in equilibrium problems in solid mechanics (74G65) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55) Irregularities of distribution, discrepancy (11K38)
Related Items
Positive definiteness and the Stolarsky invariance principle, On the Fejes Tóth problem about the sum of angles between lines, Optimal measures for \(p\)-frame energies on spheres, Exponential sums and Riesz energies, On a sharp lemma of Cassels and Montgomery on manifolds, General and refined Montgomery lemmata, STOLARSKY'S INVARIANCE PRINCIPLE FOR FINITE METRIC SPACES, On Fejes Tóth's conjectured maximizer for the sum of angles between lines, Energy on spheres and discreteness of minimizing measures, Stolarsky's invariance principle for projective spaces, Quadrature points via heat kernel repulsion, POINT DISTRIBUTIONS IN TWO‐POINT HOMOGENEOUS SPACES, Singular support of minimizers of the causal variational principle on the sphere, Maximizing expected powers of the angle between pairs of points in projective space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Permutation p-value approximation via generalized Stolarsky invariance
- Optimal asymptotic bounds for spherical designs
- Distributions of positive mass, which maximize a certain generalized energy integral
- Lösung einer elementargeometrischen Frage von Fejes Tóth
- Solution of a geometric problem by Fejes Toth
- On means of distances on the surface of a sphere (lower bounds)
- On means of distances on the surface of a sphere. II: Upper bounds
- Invariance principles for energy functionals on spheres
- Minimal discrete energy on the sphere
- Exponential sums and Riesz energies
- Energy optimization for distributions on the sphere and improvement to the Welch bounds
- The Stolarsky principle and energy optimization on the sphere
- General and refined Montgomery lemmata
- Positive definite functions on spheres
- A simple proof of Stolarsky’s invariance principle
- Discrete Energy Asymptotics on a Riemannian circle
- Über eine Punktverteilung auf der Kugel
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
- Positive Integrals of Bessel Functions
- Asymptotics for minimal discrete energy on the sphere
- POINT DISTRIBUTIONS IN COMPACT METRIC SPACES
- Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Sums of Distances Between Points on a Sphere. II
- The Five-Electron Case of Thomson’s Problem
- One-bit sensing, discrepancy and Stolarsky's principle
- About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case
- The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere