Points on Spheres and Manifolds |
Research Articles on the Sphere and other Manifolds
(217) Asymptotics of Weighted Best-Packing on Rectifiable Sets (with S. V. Borodachov and D. P. Hardin), accepted for publication in Math. Sbornik. (216) The Support of the Limit Distribution of Optimal Riesz Energy Points on Sets of Revolution in R3 (with J. Brauchart and D. Hardin), J. Math. Phys, 48 (2007), no. 12, 122901, 24 pp.. (215) Menke Points on the Real Line and Their Connection to Classical Orthogonal Polynomials (with P. Mathur and J.S. Brauchart), submitted. Download: [PDF] (212) Asymptotics of Best-Packing on Rectifiable Sets (with S.V. Borodachov and D.P. Hardin), Proc. Amer. Math. Soc., Vol. 135 (2007), pp. 2369-2380. (211) Riesz Spherical Potentials with External Fields and Minimal Energy Points Separation (with P. Dragnev), Potential Anal., Vol. 26, No. 2 (2007), pp. 139-162. (210) The Support of the Logarithmic Equilibrium Measure on Sets of Revolution in R3 (with D. Hardin and H. Stahl), J. Math. Phys., Vol. 48, No. 2 (2007), 022901, 14 pp. (208) Asymptotics for Discrete Weighted Minimal Riesz Energy Problems on Rectifiable Sets (with S.V. Borodachov and D.P. Hardin), Trans. Amer. Math. Soc., Vol. 360 (2008), pp. 1559-1580. (205) On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces (with A. B. J. Kuijlaars and X. Sun), Journal Comp. & Applied Math., Vol 199, No. 1 (2007), pp. 172-180. (201) Discretizing Manifolds via Minimum Energy Points (199) Minimal Riesz Energy Point Configurations for Rectifiable d-Dimensional Manifolds (196) Asymptotics for Minimal Discrete Riesz Energy on Curves in Rd (192) Note on d-extremal configurations for the Sphere in R(d+1) (161) Distributing Many Points on a Sphere (159) Asymptotics for Minimal Discrete Energy on the Sphere (156) Electrons on the Sphere (155) Minimal Discrete Energy on the Sphere Knud Thomsen. See <http://groups.google.com/group/sci.math/browse_thread/thread/983105fb1ced42c/e803d9e3e9ba3d23#e803d9e3e9ba3d23>
Code for Equal-Area Points on Sphere
EQ Sphere Partititions and Recursive Zonal Equal Area (EQ) Sphere Partitioning Toolbox: http://eqsp.sourceforge.net
Equal - Area Point Images
Poppy-Seed Bagel TheoremScience & Vie Profile The Poppy-Seed Bagel Theorem Discretizing Manifolds via Minimum Energy Points Rob Womersley's Visualization of Minimum Energy Points on the Torus |