Harmonic properties of the logarithmic potential and the computability of elliptic Fekete points

DOI10.1007/s00365-012-9158-yzbMath1266.31006OpenAlexW2044325752MaRDI QIDQ1939499

Carlos Beltran

Publication date: 4 March 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-012-9158-y

zbMATH Keywords

elliptic Fekete pointssubharmonic functionlogarithmic energySmale's 7th problemsimply exponential algorithm

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (8)

The crystallization conjecture: a review ⋮ A lower bound for the logarithmic energy on \(\mathbb{S}^2\) and for the Green energy on \(\mathbb{S}^n\) ⋮ Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case ⋮ Energy of the Coulomb gas on the sphere at low temperature ⋮ Optimal \(N\)-point configurations on the sphere: ``magic numbers and Smale's 7th problem ⋮ Unnamed Item ⋮ A facility location formulation for stable polynomials and elliptic Fekete points ⋮ Distributing many points on spheres: minimal energy and designs

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