D. Hardin

activity

20032025

most citedThe next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere

47 citations · 231 across the 47 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.MG2022

Universal minima of discrete potentials for sharp spherical codes

Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2

This article is devoted to the study of discrete potentials on the sphere in $R^{n}$ for sharp codes. We show that the potentials of most of the known sharp codes attain the…

math.CO2022

On polarization of spherical codes and designs

Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2

In this article we investigate the $N$ -point min-max and the max-min polarization problems on the sphere for a large class of potentials in $R^{n}$ . We derive universal lowe…

math.CA2022

Asymptotics of $k$ -nearest neighbor Riesz energies

Douglas P. Hardin, Edward B. Saff, Oleksandr Vlasiuk

We obtain new asymptotic results about systems of $N$ particles governed by Riesz interactions involving $k$ -nearest neighbors of each particle as $N \to \infty$ . These results i…

Universal minima of discrete potentials for sharp spherical codes

On polarization of spherical codes and designs

Asymptotics of k-nearest neighbor Riesz energies

Asymptotics of $k$ -nearest neighbor Riesz energies