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- W3166139219 abstract "We obtain a simple formula for the stationary measure of the height field evolving according to the Kardar-Parisi-Zhang equation on the interval $[0,L]$ with general Neumann type boundary conditions and any interval size. This is achieved using the recent results of Corwin and Knizel (arXiv:2103.12253) together with Liouville quantum mechanics. Our formula allows to easily determine the stationary measure in various limits: KPZ fixed point on an interval, half-line KPZ equation, KPZ fixed point on a half-line, as well as the Edwards-Wilkinson equation on an interval." @default.
- W3166139219 created "2021-06-22" @default.
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- W3166139219 date "2021-05-31" @default.
- W3166139219 modified "2023-09-28" @default.
- W3166139219 title "Steady state of the KPZ equation on an interval and Liouville quantum mechanics" @default.
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