3 problems

Let $\mathbb{P}_{HL}^{r,t}$ be the Hall–Littlewood measure on plane partitions. Fix $T>0$ and impose … For $\tau\in\mathbb{R}$, define $\Xi^\tau$ by the normalization displayed in…

Central limit conjecture. The infinite vector

Positive-Plancherel-parameter conjecture. The technical assumption $\gamma=0$ in the law of large numbers can be dropped: the same convergence should hold for every triplet…