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arXiv:2002.08496 [math.PR]AbstractReferencesReviewsResources

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

Sourav Sarkar, Bálint Virág

Published 2020-02-19Version 1

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

Comments: 17 pages
Categories: math.PR, math-ph, math.MP
Subjects: 82B23, 82C22, 60H15
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