Optimal Asymptotic Bounds for Spherical Designs

Bondarenko, A., Radchenko, D., & Viazovska, M. (2013). Optimal Asymptotic Bounds for Spherical Designs. Annals of Mathematics, 443-452.

Type

Journal article

Intellectual base

Primary research

Year

2013

DOI

10.4007/annals.2013.178.2.2

Link

https://doi.org/10.4007/annals.2013.178.2.2

Cited by

1 citation across 1 artifact.

Domain-specific

• Spherical Design
  • … for averaging sets, including spherical designs. Bondarenko, Radchenko, and Viazovska later proved that for fixed sphere dimension there are spherical \(t\)-designs with asymptotically optimal order \(t^d\) points on \(S^d\), and designs of every sufficiently large cardinality above a constant multiple of that order.

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