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arXiv · 1612.06729

Asymptotically optimal designs on compact algebraic manifolds

Ujué Etayo·Jordi Marzo·Joaquim Ortega-Cerdà
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Abstract

We find t-designs on compact algebraic manifolds with a number of points comparable to the dimension of the space of polynomials of degree t on the manifold. This generalizes results on the sphere by Bondarenko, Radchenko and Viazovska. Of special interest is the particular case of the Grassmannians where our results improve the bounds that had been proved previously.

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Ujué Etayo, Jordi Marzo, Joaquim Ortega-Cerdà. 2016-12-20. Asymptotically optimal designs on compact algebraic manifolds. https://doi.org/10.1007/s00605-018-1174-y

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