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 2008 · math-phShow all

2 papers · 2 filters

math-ph2008

Riesz $s$ -equilibrium measures on $d$ -rectifiable sets as $s$ approaches $d$

M. T. Calef, D. P. Hardin

Let $A$ be a compact set in $R^{p}$ of Hausdorff dimension $d$ . For $s \in (0, d)$ , the Riesz $s$ -equilibrium measure $μ^{s}$ is the unique Borel probability measure with suppor…

math-ph2008★ 33 cited

The Riesz energy of the $N$ -th roots of unity: an asymptotic expansion for large $N$

J. S. Brauchart, D. P. Hardin, E. B. Saff

We derive the complete asymptotic expansion in terms of powers of $N$ for the Riesz $s$ -energy of $N$ equally spaced points on the unit circle as $N \to \infty$ . For $s \geq - 2$ , such…

Riesz s-equilibrium measures on d-rectifiable sets as s approaches d

The Riesz energy of the N-th roots of unity: an asymptotic expansion for large N

Riesz $s$ -equilibrium measures on $d$ -rectifiable sets as $s$ approaches $d$

The Riesz energy of the $N$ -th roots of unity: an asymptotic expansion for large $N$