Distribution of point charges with small discrete energy

DOI10.1090/S0002-9939-2011-11135-3zbMath1232.31005arXiv1307.5841MaRDI QIDQ3093433

Igor E. Pritsker

Publication date: 17 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5841

zbMATH Keywords

equilibrium measurediscrete energyFekete pointsRiesz potentialsNewton potentials

Mathematics Subject Classification ID

Potentials and capacities on other spaces (31C15) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (5)

POLYNOMIALS WITH ZEROS ON THE UNIT CIRCLE: REGULARITY OF LEJA SEQUENCES ⋮ Asymptotics of the energy of sections of greedy energy sequences on the unit circle, and some conjectures for general sequences ⋮ 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 ⋮ Distributing many points on spheres: minimal energy and designs

Cites Work

• A Wiener-type condition for Hölder continuity for Green's functions
• Distributing many points on a sphere
• Potential theory - selected topics
• On the distribution of weighted extremal points on a surface in \(\mathbb R^d\), \(d \geqslant 3\)
• Equidistribution of points via energy
• Estimates of mass distributions from their potentials and energies
• On the regularity of the distribution of the Fekete points of a compact surface in \(R^n\)
• Metric properties of harmonic measures
• Une condition de Dini-Lipschitz dans la theorie du potentiel
• Estimates for the discrepancy of a signed measure using its energy norm
• Fekete potentials and polynomials for continua
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