On extremums of sums of powered distances to a finite set of points
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Publication:387589
DOI10.1007/s10711-012-9804-3zbMath1287.52007arXiv1211.2975OpenAlexW2062926787MaRDI QIDQ387589
Nikolai Nikolov, Rafael Rafailov
Publication date: 23 December 2013
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.2975
Related Items (9)
Riesz polarization inequalities in higher dimensions ⋮ Absolute minima of potentials of certain regular spherical configurations ⋮ Maximal values of symmetric functions in distances between points ⋮ Odd strength spherical designs attaining the Fazekas-Levenshtein bound for covering and universal minima of potentials ⋮ On polarization of spherical codes and designs ⋮ Unnamed Item ⋮ Asymptotics of discrete Riesz \(d\)-polarization on subsets of \(d\)-dimensional manifolds ⋮ Polarization, sign sequences and isotropic vector systems ⋮ Polarization problem on a higher-dimensional sphere for a simplex
Cites Work
- Riesz polarization inequalities in higher dimensions
- On the sum of powered distances to certain sets of points on the circle
- The sum of the distances to certain pointsets on the unit circle
- The sum of the distances to N points on a sphere
- Polarization optimality of equally spaced points on the circle for discrete potentials
- Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials
- Experimental Study of Energy-Minimizing Point Configurations on Spheres
- Universally optimal distribution of points on spheres
- Chebyshev constants for the unit circle
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