Spatial increments of the KPZ fixed point with arbitrary compactly supported initial data are quantitatively comparable to Brownian motion on compacts, uniformly, enabling large deviation and entropy results.
The two-time distribution in geometric last-passage percolation
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abstract
We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show that it is given by a contour integral of a Fredholm determinant.
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Quantitative Brownian regularity of the KPZ fixed point with arbitrary initial data
Spatial increments of the KPZ fixed point with arbitrary compactly supported initial data are quantitatively comparable to Brownian motion on compacts, uniformly, enabling large deviation and entropy results.