Numerical properties of generalized discrepancies on spheres of arbitrary dimension
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Publication:1939335
DOI10.1016/j.jco.2012.11.005zbMath1282.65040OpenAlexW2092453998MaRDI QIDQ1939335
Christine Choirat, Raffaello Seri
Publication date: 4 March 2013
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2012.11.005
Numerical quadrature and cubature formulas (65D32) Irregularities of distribution, discrepancy (11K38)
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Computational aspects of Cui-Freeden statistics for equidistribution on the sphere ⋮ A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness ⋮ Asymptotic distributions of covering and separation measures on the hypersphere ⋮ Points on manifolds with asymptotically optimal covering radius ⋮ Theory of generalized discrepancies on a ball of arbitrary finite dimensions and algorithms for finding low-discrepancy point sets ⋮ Distributing many points on spheres: minimal energy and designs
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