Exponential last-passage percolation and Poisson-avoiding metrics converge to the directed landscape in half-space, characterized via the half-space KPZ fixed point with explicit stationary measures.
Diffusive scaling limit of the B usemann process in last passage percolation
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The directed landscape in half-space
Exponential last-passage percolation and Poisson-avoiding metrics converge to the directed landscape in half-space, characterized via the half-space KPZ fixed point with explicit stationary measures.