3 problems

Frobenius light-cone conjecture. The bound above can be replaced by

Let $s\in\mathbb{S}^{d-1}$, let $n$ tend to infinity, let $\beta_{\rm sat}^{*}(s)$ be the saturation threshold for the truncated two-point function, let $\beta_{\rm c}$ be the crit…

Consider a one-dimensional periodic cell containing $n$ balls of each type $A$, $B$, and $C$, with positive radii parameters $\omega_i$ satisfying $\sum_i\omega_i=1$, and let…