Edgeworth-type expansion for the one-point distribution of the KPZ fixed point with a large height at a prior location

Ron Nissim, Ruixuan Zhang

We consider the Kardar-Parisi-Zhang (KPZ) fixed point $\mathrm{H}(x,\ddot{I}„)$ with the narrow-wedge initial condition and investigate the distribution of $\mathrm{H}(x,\ddot{I}„)$ conditioned…