A conditional scaling limit of the KPZ fixed point with height tending to infinity at one location

Zhipeng Liu, Yizao Wang

We consider the asymptotic behavior of the KPZ fixed point $\{\mathsf{H}(x,t){\}}_{x\in \mathbb{R},t>0}$ conditioned on $\mathsf{H}(0,T)=L$ as $L$ goes to infinity. The main result is a…