Stolarsky’s invariance principle for projective spaces

We show that Stolarsky’s invariance principle, known for point distributions on the Euclidean spheres, can be extended to the real, complex, and quaternionic projective spaces and the octonionic projective plane.

Saved in:
Bibliographic Details
Published in:Journal of Complexity 2020-02, Vol.56, p.101428, Article 101428
Main Author: Skriganov, M.M.
Format: Article
Language:English
Subjects:
Discrepancies
Geometry of distances
Jacobi polynomials
Projective spaces
Spherical functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show that Stolarsky’s invariance principle, known for point distributions on the Euclidean spheres, can be extended to the real, complex, and quaternionic projective spaces and the octonionic projective plane.
ISSN:0885-064X
1090-2708
DOI:10.1016/j.jco.2019.101428