Large fluctuations of a Kardar-Parisi-Zhang interface on a half-line: the height statistics at a shifted point

Tomer Asida, Eli Livne, Baruch Meerson

We consider a stochastic interface $h(x,t)$, described by the $1+1$ Kardar-Parisi-Zhang (KPZ) equation on the half-line $x\ge 0$ with the reflecting boundary at $x=0$. The interfac…