3 problems

Let $h(x,t)$ be the height function of the polynuclear growth (PNG) model on a one-dimensional substrate with flat initial conditions. Let ${\cal A}_{\rm 1}$ denote the Airy one pr…

GOE edge-scaling conjecture. Under edge scaling, the process $x\mapsto h(x,T)$ for flat PNG is in distribution identical to the largest eigenvalue of Dyson's Brownian motion with…

Fluctuation-type conjecture. For other values of $b3$, the fluctuation is of symplectic-unitary type when $0\leq b3<1$, whereas it is of Gaussian type when $b3>1$.