Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy--Widom GOE distribution

Karl Liechty, Gia Bao Nguyen, Daniel Remenik

We study the distribution of the supremum of the Airy process with $m$ wanderers minus a parabola, or equivalently the limit of the rescaled maximal height of a system of $N$ non-i…