Now showing items 1-3 of 3

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

[OWP-2017-03] (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] (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] (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 ...