3 problems

Let $\alpha>-1$, let $x,y\in\mathbb{R}_+$ be fixed, and let $\tau\in\mathbb{R}$ be fixed. The function $K^{\operatorname{tac},(\alpha)}(x,y;s,\tau)$ is the hard-edge tacnode kernel…

The odd tacnode process is the limiting process with kernel $K^{\operatorname{tac},\operatorname{odd}}$. The six-vertex model with domain wall boundary conditions is the model of i…

Equality conjecture. The functions $g_\sigma$ and $h_\sigma$ are the same. The statement is presented without proof in the context of the temperature derivative theorem; the suppli…