5 problems

Let $d\geq 1$, let $\mathscr Q:\mathbb C^d\to\mathbb R$ be $C^2$ and strictly plurisubharmonic, and suppose that its droplet $S_{\mathscr Q}$ has smooth boundary. For each…

Let $d\geq 1$, let $\mathscr Q:\mathbb C^d\to\mathbb R$ be $C^2$ and strictly plurisubharmonic, and let $S_{\mathscr Q}$ be its droplet with smooth boundary. For…

Airy edge universality conjecture. Under some mild conditions on the summands, the upper edge limit of $Vec{\lambda}(N)$ near $mu_+$ is still given by $\operatorname{Airy}(\beta)$…

Edge-universality regime conjecture. The assertion in (1.2) holds if and only if

Edge universality conjecture. We have