Stolarsky's invariance principle for projective spaces

Autor: Skriganov, M. M.
Rok vydání: 2018
Předmět:
Zdroj: Journal of Complexity, Volume 56, February 2020
Druh dokumentu: Working Paper
DOI: 10.1016/j.jco.2019.101428
Popis: 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. A part of the results (Theorem~1.1 ana Corollary~1.1) was given early in the previous paper [22], while the explicit formulas for the constants in the invariance principles for projective spaces (Theorem~1.2 and Corollary~1.2) are new.
Comment: arXiv admin note: the paper is a revised version of arXiv:1805.03541
Databáze: arXiv