2 problems

Subsequential limit conjecture. These random variables converge in joint distribution as $n\to\infty$ for every $\alpha\in[0,1)$, with distinct limiting joint distributions for dis…

KPZ class conjecture. Suppose that $\phi$ is twice differentiable at $y$ with $\phi”(y)\neq0$ and set $\varrho=\phi'(y)$ for $|\varrho|<1$. If $A(\varrho)<\infty$ and…