Asymptotics of greedy energy points

DOI10.1090/S0025-5718-10-02358-6zbMath1202.31008arXiv0901.3840MaRDI QIDQ3160740

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Publication date: 8 October 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3840

zbMATH Keywords

equilibrium measureLeja pointsminimal energyVoronoi cellsRiesz kernelsbest-packing configurations

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Numerical approximation and computational geometry (primarily algorithms) (65D99) Potential theory on fractals and metric spaces (31E05)

Related Items (10)

p-Transfinite diameter and p-Chebyshev constant in locally compact spaces ⋮ POLYNOMIALS WITH ZEROS ON THE UNIT CIRCLE: REGULARITY OF LEJA SEQUENCES ⋮ Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points ⋮ Asymptotics of the energy of sections of greedy energy sequences on the unit circle, and some conjectures for general sequences ⋮ The numerical approximation of nonlinear functionals and functional differential equations ⋮ Online uniformly inserting points on the sphere ⋮ Asymptotics of greedy energy sequences on the unit circle and the sphere ⋮ Asymptotics of the minimum values of Riesz and logarithmic potentials generated by greedy energy sequences on the unit circle ⋮ Local Properties of Riesz Minimal Energy Configurations and Equilibrium Measures ⋮ Distributing many points on spheres: minimal energy and designs

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