The joint law of Busemann increments in i.i.d. exponential LPP is exactly represented by last-passage increments on a finite grid with inhomogeneous exponential weights.
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Permutation invariance in last-passage percolation and the distribution of the Busemann process
The joint law of Busemann increments in i.i.d. exponential LPP is exactly represented by last-passage increments on a finite grid with inhomogeneous exponential weights.