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.
Actions in the Airy line ense mble and convergence to the Airy sheet
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The KPZ fixed point and Brownian motion share the same null sets on compact intervals.
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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.
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The KPZ fixed point and Brownian motion share the same null sets
The KPZ fixed point and Brownian motion share the same null sets on compact intervals.