Optimal asymptotic bounds for spherical designs

@article{Bondarenko2010OptimalAB,
  title={Optimal asymptotic bounds for spherical designs},
  author={Andriy V. Bondarenko and Danylo V. Radchenko and Maryna S. Viazovska},
  journal={arXiv: Metric Geometry},
  year={2010}
}
In this paper we prove the conjecture of Korevaar and Meyers: for each $N\ge c_dt^d$ there exists a spherical $t$-design in the sphere $S^d$ consisting of $N$ points, where $c_d$ is a constant depending only on $d$. 

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Asymptotically optimal designs on compact algebraic manifolds

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...

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