arXiv:2610.37694v1 Announce Type: new Abstract: We prove various invariance properties for half-space geometric and exponential last passage percolation and the half-space log-gamma polymer, analogous to the full-space invariances proved by Dauvergne. We use the RSK and geometric RSK correspondences to establish a conditional distributional identity between the half-space models and the corresponding full-space models, which allows us to directly transfer the invariance results in the full space to the half space.
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