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math.PR2018
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.CA2018
Comparison of probabilistic and deterministic point sets
Peter Grabner, Tetiana Stepanyuk
In this paper we make a comparison between certain probabilistic and deterministic point sets and show that some deterministic constructions (spherical -designs) are better or a…