3 problems

Let $\tau>0$ and define the causal-variational-principle kernel on $\mathbb S^2$ by … For a probability measure $\mu$ on $\mathbb S^2$, let the associated energy be the double inte…

Support conjecture for the causal variational principle. All minimizers of this energy are discrete whenever $\tau>\sqrt{2}$; furthermore, there exist discrete minimizers for…

Finiteness conjecture. If $\tau>\sqrt{2}$, the support of every minimizing measure consists of finitely many points: