Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case

@article{Barraquand2022HalfspaceSK,
  title={Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case},
  author={Guillaume Barraquand and Alexandre Krajenbrink and Pierre le Doussal},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2022},
  volume={55}
}
We study the Kardar–Parisi–Zhang (KPZ) equation on the half-line x ⩾ 0 with Neumann type boundary condition. Stationary measures of the KPZ dynamics were characterized in recent work: they depend on two parameters, the boundary parameter u of the dynamics, and the drift −v of the initial condition at infinity. We consider the fluctuations of the height field when the initial condition is given by one of these stationary processes. At large time t, it is natural to rescale parameters as (u, v… 
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