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arXiv · 2002.08496

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

Sourav Sarkar·Bálint Virág
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Abstract

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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BibTeXRIS

Sourav Sarkar, Bálint Virág. 2020-02-19. Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition. https://doi.org/10.1214/20-aop1491

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