Riesz Energy on the Torus: Regularity of Minimizers

Jianfeng Lu, Stefan Steinerberger

We study sets of $N$ points on the $d-$dimensional torus ${\mathbb{T}}^d$ minimizing interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i - x_j)}. \] The m…