Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
We show that the law of the KPZ fixed point starting from arbitrary initial condition is absolutely continuous with respect to the law of Brownian motion $B$ on every compact interval. In particular, the Airy$_1$ process is absolutely continuous with respect to $B$ on any compact interval.