Geodesic cycles on the Sphere: t-designs and Marcinkiewicz-Zygmund Inequalities

2025/01/10 by Martin Ehler, Karlheinz Gröchenig, Ehler, Martin +3 · 1 citation
Materials Science · Mathematics · #26B15 #41A55 #41A63 #94A12 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Point processes and geometric inequalities #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2501.06120

openalex publication_date 2025/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A geodesic cycle is a closed curve that connects finitely many points along geodesics. We study geodesic cycles on the sphere in regard to their role in equal-weight quadrature rules and approximation.

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• Asymptotically short generalizations of t-design curves

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