3 problems

Asymptotic conjecture for $(2,k,k)$-numbers. For each $k$,

Heuristic exponent conjecture for $(2,1,2)$-numbers.

Let $s\in\mathbb{N}$ and let $\mathcal{S}$ be a sequence in $[0,1)^s$. Write $D_N^{\ast}(\mathcal{S})$ for its star discrepancy at $N$ points. Grand discrepancy conjecture. For eve…