arXiv subjects

Maksim Skriganov

Publications and source records attributed to Maksim Skriganov.

2 recordsLinked to original sources

arXiv2023

Spherical functions and Stolarski's invariance principle

In the previous paper [25], Stolarsky's invariance principle, known for point distributions on the Euclidean spheres [27], has been extended to the real, complex, and quaternionic projective spaces and the octonionic projective plane. Geometric features of these spaces as well as their models in terms of Jordan algebras have been used very essentially in the proof. In the present paper, we give a new pure analytic proof of the extended Stolarsky's invariance principle, relying on the theory of spherical functions on compact symmetric Riemannian manifolds of rank one.

math.CO↗

arXiv2019

Stolarsky's invariance principle for projective spaces, II

It was proved in the first part of this work \cite{0} that Stolarsky's invariance principle, known previously for point distributions on the Euclidean spheres \cite{33}, can be extended to the real, complex, and quaternionic projective spaces and the octonionic projective plane. The geometric features of these spaces have been used very essentially in the proof. In the present paper, relying on the theory of spherical functions on such spaces, we give an alternative analytic proof of Stolarsky's invariance principle.

math.CA↗