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arXiv · 2212.06587

Non symmetric Cauchy kernel, crystals and last passage percolation

Olga Azenhas·Thomas Gobet·Cédric Lecouvey
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Abstract

We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory.

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Olga Azenhas, Thomas Gobet, Cédric Lecouvey. 2023-04-24. Non symmetric Cauchy kernel, crystals and last passage percolation. https://doi.org/10.2140/tunis.2024.6.249

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