Integrable last passage percolation and directed polymers on Z^2 gain shift and rearrangement invariances from RSK correspondences plus decoupling, yielding scrambled RSK versions, moon polyomino RSK, and extensions to KPZ and Airy sheet.
Exact limiting shape for a simplified model of first-passage p ercolation on the plane
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Hidden invariance of last passage percolation and directed polymers
Integrable last passage percolation and directed polymers on Z^2 gain shift and rearrangement invariances from RSK correspondences plus decoupling, yielding scrambled RSK versions, moon polyomino RSK, and extensions to KPZ and Airy sheet.