Bulk heights of the KPZ line ensemble

Duncan Dauvergne, Fardin Syed

For $t>0$, let $\{{\mathcal{H}}_n^{(t)},n\in \mathbb{N}\}$ be the KPZ line ensemble with parameter $t$, satisfying the homogeneous $\mathbf{H}$-Brownian Gibbs property with $\mat…