4 problems

Let $\omega_{N,d} \subseteq \mathbb{S}^d$ be the first $N$ elements of the greedy sequence with respect to $K_{-1}$ as defined in the greedy construction. For $d$-dimensional spher…

Let $n\in\mathds{Z}^+$, and consider the point configuration called Polar Coordinates with parameter $n$. For a direction on the sphere, let the directed Discrepancy be the discrep…

Bourgain–Sarnak–Rudnick-type conjecture. For every $\epsilon>0$,

Let $D(\omega_N)$ denote the spherical cap discrepancy of a sequence of configurations $\{\omega_N\}_{N=2}^{\infty}\subset\mathbb{S}^2$. Call the sequence well-separated when its p…