The minimizers of the $p$-frame potential

Zhiqiang Xu, Zili Xu

For any positive real number $p$, the $p$-frame potential of $N$ unit vectors $X:=\{{\mathbf{x}}_1,\dots ,{\mathbf{x}}_N\}\subset {\mathbb{R}}^d$ is defined as ${\rm FP}_{p,N,d}(X)=\sum_{i\…