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 ${\mathbb{R}}^p$ of Hausdorff dimension $d$. For $s\in (0,d)$, the Riesz $s$-equilibrium measure ${\mu }^s$ is the unique Borel probability measure with suppor…