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math.PR2024
The directed landscape is a black noise
Zoe Himwich, Shalin Parekh
We show that the directed landscape is a black noise in the sense of Tsirelson and Vershik. As a corollary, we show that for any microscopic system in which the height profile conv…
math.PR2024
Stationary Measure of the Open KPZ Equation through the Enaud-Derrida Representation
Zoe Himwich
Recent works of Barraquand and Le Doussal and Bryc, Kuznetsov, Wang, and Wesolowski gave a description of the open KPZ stationary measure as the sum of a Brownian motion and a Brow…
math.PR2024
Convergence of the open WASEP stationary measure without Liggett's condition
Zoe Himwich
We demonstrate that Liggett's condition can be relaxed without disrupting the convergence of open ASEP stationary measures to the open KPZ stationary measure. This is equivalent to…