4 problems

RBPD limit-shape and arctic-curve conjecture. As $n\to\infty$, the height function converges to a deterministic limit shape consisting of four frozen regions adjacent to the domain…

For a sequence of bounded lecture hall tableaux with limiting height function $h(x,y)=\lim h_n(x,y)/n$, let $u(x,y)$ be the solution of the Burgers equation introduced for the asso…

Let $\Lambda$ be a generic domain for the six-vertex model, and consider a south side ending at a corner, with the relevant external portion of the Arctic curve lying above that si…

Let $r(z)$ be the scaled logarithmic derivative of the boundary correlation function $h_N(z)$, namely … For the six-vertex model with domain wall boundary conditions, let $t$ and…