论文标题
KPZ固定点具有任意初始条件的Brownian绝对连续性
Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
论文作者
论文摘要
我们表明，从任意初始条件开始的KPZ固定点的定律对于每个紧凑型间隔的布朗运动$ b $定律绝对是连续的。特别是，相对于任何紧凑的间隔，相对于$ b $，通风$ _1 $的过程绝对是连续的。
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.
