Global asymptotics for $\beta$-Krawtchouk corners processes via multi-level loop equations

Evgeni Dimitrov, Alisa Knizel

We introduce a two-parameter family of probability distributions, indexed by $\beta /2=\theta >0$ and $K\in {\mathbb{Z}}_{\ge 0}$, that are called $\beta$-Krawtchouk corners processes. These m…