Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition

28 Oct 2020 Sarkar Sourav Virág Bálint

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...

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Categories


  • PROBABILITY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS