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Asymptotically optimal designs on compact algebraic manifolds

Asymptotically optimal designs on compact algebraic manifolds 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 et al. (Ann Math 178(2):443–452, 2013). Of special interest is the particular case of the Grassmannians where our results improve the bounds that had been proved previously. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Monatshefte für Mathematik Springer Journals

Asymptotically optimal designs on compact algebraic manifolds

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References (31)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Austria, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
0026-9255
eISSN
1436-5081
DOI
10.1007/s00605-018-1174-y
Publisher site
See Article on Publisher Site

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 et al. (Ann Math 178(2):443–452, 2013). Of special interest is the particular case of the Grassmannians where our results improve the bounds that had been proved previously.

Journal

Monatshefte für MathematikSpringer Journals

Published: Mar 2, 2018

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