Phase transitions for frame potentials]{Phase transitions for the minimizers of the $p^{th}$ frame potentials in ${\mathbb{R}}^2$

Radel Ben Av, Xuemei Chen, Assaf Goldberger +2

Given $N$ points $X=\{x_k{\}}_{k=1}^N$ on the unit circle in ${\mathbb{R}}^2$ and a number $0\le p\le \infty$ we investigate the minimizers of the functional $\sum_{k, \ell =1}^N |\…