POINT DISTRIBUTIONS IN COMPACT METRIC SPACES

DOI10.1112/S0025579317000286zbMath1393.11057arXiv1512.00364OpenAlexW2962788143MaRDI QIDQ4604487

Maxim M. Skriganov

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00364

zbMATH Keywords

discrepancyStolarsky's invariance principlesum of distancespoint distributionsdistance-invariant spaces

Mathematics Subject Classification ID

Discrete geometry (52C99) Irregularities of distribution, discrepancy (11K38)

Related Items (9)

Positive definiteness and the Stolarsky invariance principle ⋮ STOLARSKY'S INVARIANCE PRINCIPLE FOR FINITE METRIC SPACES ⋮ Discrepancy and numerical integration on metric measure spaces ⋮ Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces ⋮ Stolarsky's invariance principle for projective spaces ⋮ Bounds for discrepancies in the Hamming space ⋮ Bounds for \(L_p\)-discrepancies of point distributions in compact metric measure spaces ⋮ POINT DISTRIBUTIONS IN TWO‐POINT HOMOGENEOUS SPACES ⋮ Geodesic distance Riesz energy on the sphere

Cites Work

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• Minimal discrete energy on the sphere
• Association schemes on general measure spaces and zero-dimensional abelian groups
• The Stolarsky principle and energy optimization on the sphere
• A simple proof of Stolarsky’s invariance principle
• Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
• Sums of Distances Between Points on a Sphere. II
• On the sum of distances betweenn points on a sphere

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