Subharmonic Kernels and Energy Minimizing Measures, with Applications to the Flat Torus

Steven B. Damelin, Joel Nathe

We study the minimization of the energy integral $I_K(\mu )={\int }_{\Omega }{\int }_{\Omega }K(x,y)d\mu (x)d\mu (y)$ over all Borel probability measures $\mu$, where $(\Omega ,\rho )$ is a compact connected metric sp…