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arXiv · 1901.00437

Estimates for logarithmic and Riesz energies for spherical $t$-designs

Tetiana Stepanyuk
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Abstract

In this paper we find asymptotic equalities for the discrete logarithmic energy of sequences of well separated spherical $t$-designs on the unit sphere ${\mathbb{S}^{d}\subset\mathbb{R}^{d+1}}$, $d\geq2$. Also we establish exact order estimates for discrete Riesz $s$-energy, $s\geq d$, of sequences of well separated spherical $t$-designs.

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Tetiana Stepanyuk. 2019-01-02. Estimates for logarithmic and Riesz energies for spherical $t$-designs. https://arxiv.org/abs/1901.00437

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