Hyperuniform point sets on the sphere: deterministic constructions

Abstract

We study a generalisation of the concept of hyperuniformity to spheres of arbitrary dimension. It is shown that QMC-designs (and especially spherical designs) are hyperuniform in our sense.

References in corpus (3)

• Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale packing problem
• Hyperuniformity of Quasicrystals
• Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling

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