Small designs for path-connected spaces and path-connected homogeneous spaces
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Abstract:
We prove the existence of designs of small size in a number of contexts. In particular our techniques can be applied to prove the existence of $n$-designs on $S^{d}$ of size $O_d(n^{d}\log ^{d-1}(n))$.References
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Additional Information
- Daniel M. Kane
- Affiliation: Department of Mathematics, Stanford University, Building 380, Stanford, California 94305
- Address at time of publication: Department of Computer Science and Engineering/Department of Mathematics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093
- Email: dankane@math.stanford.edu, dakane@ucsd.edu
- Received by editor(s): June 27, 2012
- Received by editor(s) in revised form: June 28, 2013
- Published electronically: April 16, 2015
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 6387-6414
- MSC (2010): Primary 05B30
- DOI: https://doi.org/10.1090/tran/6250
- MathSciNet review: 3356941