2 problems

Fix $d$, and let $k\in\mathbb{N}$ be a constant depending only on $d$. In the setting of Costello's conjecture, let $f\in\mathbb{F}[x_1,\dots,x_n]$ and let $\xi_1,\dots,\xi_n$ be i…

Fix $d\ge 2$ and $\varepsilon>0$, let $\mathbb{F}\in\\{\mathbb{R},\mathbb{C}\\}$, and let $n$ be sufficiently large in terms of $\varepsilon,d$. Let…