Extremal dispositions of the points on the sphere
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Publication:1375048
DOI10.1007/BF02789828zbMath0880.51008MaRDI QIDQ1375048
Publication date: 5 January 1998
Published in: Analysis Mathematica (Search for Journal in Brave)
extremal problemspoints on the sphereinterpolation polynomialsdistance problemsextremal dispositions of points
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Distance geometry (51K99) Inequalities and extremum problems involving convexity in convex geometry (52A40) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)
Related Items (12)
Optimal measures for \(p\)-frame energies on spheres ⋮ Energy functionals, numerical integration and asymptotic equidistribution on the sphere. ⋮ Bounds for the sum of distances of spherical sets of small size ⋮ Spherical distribution of 5 points with maximal distance sum ⋮ Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets ⋮ Universal lower bounds for potential energy of spherical codes ⋮ Unnamed Item ⋮ Non-axially symmetric solutions of a mean field equation on \(\mathbb{S}^2\) ⋮ Universally optimal distribution of points on spheres ⋮ Asymptotics of best-packing on rectifiable sets ⋮ The Stability of Localized Spot Patterns for the Brusselator on the Sphere ⋮ Log-optimal (𝑑+2)-configurations in 𝑑–dimensions
Cites Work
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- Distributions of positive mass, which maximize a certain generalized energy integral
- On means of distances on the surface of a sphere (lower bounds)
- New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
- The Brauer-Manin Obstruction and III[2]
- On the sum of distances determined by a pointset
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- Sums of Distances Between Points on a Sphere. II
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