Browsing 1 - Oberwolfach Preprints (OWP) by Author "Saff, Edward B."

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Mesh Ratios for Best-Packing and Limits of Minimal Energy Configurations

[OWP-2013-13] Bondarenko, A. V.; Hardin, Douglas P.; Saff, Edward B. (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)

For $N$ -point best-packing configurations $\omega_N$ on a compact metric space $(A, \rho)$ , we obtain estimates for the mesh-separation ratio $\gamma(\rho_N , A)$ , which is the quotient of the covering radius of $\omega_N$ ...
Minimal Riesz energy on the sphere for axis-supported external fields

[OWP-2009-04] Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. (Mathematisches Forschungsinstitut Oberwolfach, 2009)

Abstract. We investigate the minimal Riesz $s$ -energy problem for positive measures on the d-dimensional unit sphere $\mathbb{S}^d$ in the presence of an external field induced by a point charge, and more generally by ...