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 process is absolutely continuous with respect to B on any compact interval.
"Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition." Ann. Probab. 49 (4) 1718 - 1737, July 2021. https://doi.org/10.1214/20-AOP1491