Discrepancy, separation and Riesz energy of finite point sets on the unit sphere

Leopardi, Paul

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Discrepancy, separation and Riesz energy of finite point sets on the unit sphere

Date

2011

Authors

Leopardi, Paul

Publisher

Springer

Abstract

For d ≥ 2 we consider asymptotically equidistributed sequences of Sd codes, with an upper bound δ on spherical cap discrepancy, and a lower bound Δ on separation. For such sequences, if 0 < s < d, then the difference between the normalized Riesz