A Riemannian Autocorrelation Function and its Application to Non-Local Isoperimetric Energies

Michael Bleher, Denis Brazke, Sebastian Nill

We study a family of non-local isoperimetric energies $E_{{\hat{I}}^3,\epsilon }$ on the round sphere $M=S^n$, where the non-local interaction kernel $K_{\epsilon }$ is the fundamental…