2 problems

Let $\operatorname{FP}_{p,5,2}(X)$ be the $p$th frame potential of a five-point configuration $X$ in $\mathbb{R}^2$, and let $X_5^\perp$, $X_5^{(h)}$, $Y(\alpha)$, and $Z(\alpha)$…

Universal optimality conjecture for lifted ETFs. The following configurations minimize the $p$-frame potential $\operatorname{FP}_{p,d+1,d}$: when $p\in(p_{k-1},p_k]$, the $L_k^d$…