Optimizers of three-point energies and nearly orthogonal sets

Semidefinite programming (90C22) Extremal set theory (05D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Cites Work

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The minimum semidefinite rank of a triangle-free graph
Minimization of the probabilistic $p$-frame potential
Cycles of nonzero elements in low rank matrices
New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
Large sets of nearly orthogonal vectors
Über die kleinste Kugel, die eine räumliche Figur einschließt.
On almost-equidistant sets
Finite normalized tight frames
The Jung theorem for spherical and hyperbolic spaces
Universal optimal configurations for the $p$-frame potentials
Energy on spheres and discreteness of minimizing measures
Optimal measures for $p$-frame energies on spheres
Tight $p$-fusion frames
Finite two-distance tight frames
The kissing number in four dimensions
Das Problem der dreizehn Kugeln
The minimizers of the $p$-frame potential
Potential theory with multivariate kernels
Universally optimal distribution of points on spheres
Volume Ratios and a Reverse Isoperimetric Inequality
New upper bounds for kissing numbers from semidefinite programming
Lower bounds on the maximum cross correlation of signals (Corresp.)
On $p$-frame potentials of determinantal point processes on the sphere
Repeated Minimizers of $p$-Frame Energies
Discrete Energy on Rectifiable Sets
Radial Functions of Convex and Star-Shaped Bodies
The Closest Packing of Spherical Caps in n Dimensions
On <i>p</i>-frame potentials of the Beltrán and Etayo point processes on the sphere
Gradient Flows for Probabilistic Frame Potentials in the Wasserstein Space

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