The Diamond ensemble: A constructive set of spherical points with small logarithmic energy-Reference-Cited by-同舟云学术

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The Diamond ensemble: A constructive set of spherical points with small logarithmic energy

Published:2020-08 Issue: Volume:59 Page:101471
ISSN:0885-064X
Container-title:Journal of Complexity
language:en
Short-container-title:Journal of Complexity

Author:

Beltrán Carlos,Etayo Ujué

Funder

Ministerio de Economía y Competitividad, Gobierno de España

Banco de Santander

Universidad de Cantabria

Austrian Science Fund FWF

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference22 articles.

1. The spherical ensemble and uniform distribution of points on the sphere;Alishahi;Electron. J. Probab.,2015

2. Minimizing the discrete logarithmic energy on the sphere: the role of random polynomials;Armentano;Trans. Amer. Math. Soc.,2011

3. Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere;Bétermin;Constr. Approx.,2018

4. Discrete Energy on Rectifiable Sets;Borodachov,2019

5. Optimal logarithmic energy points on the unit sphere;Brauchart;Math. Comp.,2008

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1. Maximal Polarization for Periodic Configurations on the Real Line;International Mathematics Research Notices;2024-02-05

2. The Spherical Cap Discrepancy of HEALPix Points;Studia Scientiarum Mathematicarum Hungarica;2024-01-29

3. Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials;Constructive Approximation;2023-12-30

4. Spherical Cap Discrepancy of Perturbed Lattices Under the Lambert Projection;Discrete & Computational Geometry;2023-08-27

5. Low-energy points on the sphere and the real projective plane;Journal of Complexity;2023-06

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