• The Index of Singular Zeros of Harmonic Mappings of Anti-Analytic Degree One 

      [OWP-2017-03] Luce, Robet; Sète, Olivier (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-02)
      We study harmonic mappings of the form $f(z) = h(z) - \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ...
    • 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 ...