Uniform convergence of Dyson Ferrari--Spohn diffusions to the Airy line ensemble

Evgeni Dimitrov, Christian Serio

We consider the Dyson Ferrari--Spohn diffusion ${\mathcal{X}}^N=({\mathcal{X}}_1^N,\dots ,{\mathcal{X}}_N^N)$, consisting of $N$ non-intersecting Ferrari--Spohn diffusions $\mathcal{X}^…