Distribution of points on spheres and approximation by zonotopes
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Publication:1117461
DOI10.1007/BF02767366zbMath0667.52001MaRDI QIDQ1117461
Joram Lindenstrauss, Jean Bourgain
Publication date: 1988
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Related Items (21)
Approximation of zonoids by zonotopes in fixed directions ⋮ QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere ⋮ Discretization of integrals on compact metric measure spaces ⋮ Improved upper bounds for approximation by zonotopes ⋮ Optimal asymptotic bounds for spherical designs ⋮ Spherical cap discrepancy of the diamond ensemble ⋮ Multivariate quadrature rules on crosslet sparse grids ⋮ Isoperimetric problems for zonotopes ⋮ On the minimax spherical designs ⋮ Spherical basis functions and uniform distribution of points on spheres ⋮ One-bit sensing, discrepancy and Stolarsky's principle ⋮ Obituary: On the mathematical contributions of Joram Lindenstrauss ⋮ Asymptotics for minimal discrete energy on the sphere ⋮ Well-separated spherical designs ⋮ On a new method for constructing good point sets on spheres ⋮ Approximating the ball by a Minkowski sum of segments with equal length ⋮ Convergence of algorithms for reconstructing convex bodies and directional measures ⋮ Approximation of convex sets by polytopes ⋮ Bounds for \(L_p\)-discrepancies of point distributions in compact metric measure spaces ⋮ Hyperuniform point sets on the sphere: probabilistic aspects ⋮ Stochastic quasi-interpolation with Bernstein polynomials
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