Universality properties of Gelfand-Tsetlin patterns

Anthony Metcalfe

A standard Gelfand-Tsetlin pattern of depth $n$ is a configuration of particles in $\{1,...,n\}\times \mathbb{R}$. For each $r\in \{1,...,n\}$, $\{r\}\times \mathbb{R}$ is referred to as the $r…