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math.PR2018★ 17 cited
Hyperuniform point sets on the sphere: probabilistic aspects
Johann S. Brauchart, Peter J. Grabner, Wöden B. Kusner +1
The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between amorphous disorder and crystal…
math.PR2015
Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation
Johann S. Brauchart, Alexander B. Reznikov, Edward B. Saff +3
Geometric properties of random points distributed independently and uniformly on the unit sphere with respect to surface area measure ar…