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.
The directed landscape
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves Hausdorff dimension lower bounds (e.g., 2 for 3-star points w.r.t. LQG metric) for star points and metric nets in LQG and Kendall's Poisson roads via non-constancy sets of Lipschitz functions.
citing papers explorer
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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.
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Dimension lower bounds in random geometry via Lipschitz functions
Proves Hausdorff dimension lower bounds (e.g., 2 for 3-star points w.r.t. LQG metric) for star points and metric nets in LQG and Kendall's Poisson roads via non-constancy sets of Lipschitz functions.