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In 1959 Fejes T\'oth posed a conjecture that the sum of pairwise non-obtuse angles between $N$ unit vectors in $\mathbb S^d$ is maximized by periodically repeated elements of the standard orthonormal basis.
L. Fejes Tóth, Über eine Punktverteilung auf der Kuge, Acta Math. Acad. Sci. Hungar 10
1959
Earlier work this paper cites.
K. B. Stolarsky. Sums of distances between points on a sphere. II. Proc. Amer. Math. Soc
1973
Earlier work this paper cites.
J.J. Benedetto, M. Fickus, Finite Normalized Tight Frames. Adv. Comput. Math
2003
Earlier work this paper cites.
M. Ehler, K.A. Okoudjou, Minimization of the probabilistic p-frame potential. J. Stat. Plan. Inference
2012
Earlier work this paper cites.
F. Dai, Y. Xu, Approximation Theory and Harmonic Analysis on Spheres and Balls, Springer Monographs in Mathematics, Springer, 2013
2013
Cited alongside, same era.
F. Petrov (https://mathoverflow.net/users/4312/fedor-petrov), maximum sum of angles between n n lines, URL (version: 2014-07-09): https://mathoverflow.net/q/173712
2014
Cited alongside, same era.
F. Fodor, V. Vígh, and T. Zarnócz, On the angle sum of line, Arch. Math 106
2016
Cited alongside, same era.
S. Borodachov, D. Hardin, E. Saff, Minimal Discrete Energy on Rectifiable Sets, Springer, Monographs in Math. (to appear)
Cited in the paper.
D. Bilyk, F. Dai, Geodesic Riesz Energy on the Sphere (2017), arXiv:1612.08442
2017
Later among the works it cites.
D. Bilyk, M. Lacey, One-bit sensing, discrepancy, and Stolarsky’s principle, Sbornik Math., 2017, 208
2017
Later among the works it cites.
D. Bilyk, F. Dai, R. Matzke, Stolarsky Principle and Energy Optimization on the Sphere, Constructive Approx. (2018) (published online)
2018
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