2 problems

Cohomology-free vector field conjecture. Any cohomology free vector field is smoothly conjugated to a Diophantine vector field on a torus.

For a continuous curve $g=(g_1,\dots,g_d):[0,\infty)\to\mathbb{R}^d$, define its discrepancy for a test set $R\subseteq[0,1]^d$ by … Let $\ell_T$ be the arc length of $g$ on…